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Finding the Third Proportional to 430,035,312 and 664,063,854

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Solution

The third proportional to 430,035,312 and 664,063,854 is: 1,025,452,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,035,312 : 664,063,854 = 664,063,854 : x
  2. Step 2: Convert to fraction form
    430,035,312/664,063,854 = 664,063,854/x
  3. Step 3: Cross multiply
    430,035,312x = 664,063,854 × 664,063,854
  4. Step 4: Simplify right side
    430,035,312x = 440,980,802,189,333,312
  5. Step 5: Solve for x
    x = 440,980,802,189,333,312/430,035,312
  6. Step 6: Final answer
    x = 1,025,452,538.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.