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Finding the Third Proportional to 461,407 and 722,352

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Solution

The third proportional to 461,407 and 722,352 is: 1,130,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,407 : 722,352 = 722,352 : x
  2. Step 2: Convert to fraction form
    461,407/722,352 = 722,352/x
  3. Step 3: Cross multiply
    461,407x = 722,352 × 722,352
  4. Step 4: Simplify right side
    461,407x = 521,792,411,904
  5. Step 5: Solve for x
    x = 521,792,411,904/461,407
  6. Step 6: Final answer
    x = 1,130,872.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.