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Finding the Third Proportional to 291,032,630.44 and 436,442,078.81

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Solution

The third proportional to 291,032,630.44 and 436,442,078.81 is: 654,502,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,032,630.44 : 436,442,078.81 = 436,442,078.81 : x
  2. Step 2: Convert to fraction form
    291,032,630.44/436,442,078.81 = 436,442,078.81/x
  3. Step 3: Cross multiply
    291,032,630.44x = 436,442,078.81 × 436,442,078.81
  4. Step 4: Simplify right side
    291,032,630.44x = 190,481,688,158,176,448
  5. Step 5: Solve for x
    x = 190,481,688,158,176,448/291,032,630.44
  6. Step 6: Final answer
    x = 654,502,857.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.