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Finding the Third Proportional to 461,610 and 730,324

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Solution

The third proportional to 461,610 and 730,324 is: 1,155,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,610 : 730,324 = 730,324 : x
  2. Step 2: Convert to fraction form
    461,610/730,324 = 730,324/x
  3. Step 3: Cross multiply
    461,610x = 730,324 × 730,324
  4. Step 4: Simplify right side
    461,610x = 533,373,144,976
  5. Step 5: Solve for x
    x = 533,373,144,976/461,610
  6. Step 6: Final answer
    x = 1,155,462.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.