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Finding the Third Proportional to 461,472 and 674,688

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Solution

The third proportional to 461,472 and 674,688 is: 986,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,472 : 674,688 = 674,688 : x
  2. Step 2: Convert to fraction form
    461,472/674,688 = 674,688/x
  3. Step 3: Cross multiply
    461,472x = 674,688 × 674,688
  4. Step 4: Simplify right side
    461,472x = 455,203,897,344
  5. Step 5: Solve for x
    x = 455,203,897,344/461,472
  6. Step 6: Final answer
    x = 986,417.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.