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Finding the Third Proportional to 460,745 and 687,564

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Solution

The third proportional to 460,745 and 687,564 is: 1,026,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,745 : 687,564 = 687,564 : x
  2. Step 2: Convert to fraction form
    460,745/687,564 = 687,564/x
  3. Step 3: Cross multiply
    460,745x = 687,564 × 687,564
  4. Step 4: Simplify right side
    460,745x = 472,744,254,096
  5. Step 5: Solve for x
    x = 472,744,254,096/460,745
  6. Step 6: Final answer
    x = 1,026,043.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.