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Finding the Third Proportional to 291,076 and 462,858

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Solution

The third proportional to 291,076 and 462,858 is: 736,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,076 : 462,858 = 462,858 : x
  2. Step 2: Convert to fraction form
    291,076/462,858 = 462,858/x
  3. Step 3: Cross multiply
    291,076x = 462,858 × 462,858
  4. Step 4: Simplify right side
    291,076x = 214,237,528,164
  5. Step 5: Solve for x
    x = 214,237,528,164/291,076
  6. Step 6: Final answer
    x = 736,019.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.