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Finding the Third Proportional to 371,712 and 561,024

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Solution

The third proportional to 371,712 and 561,024 is: 846,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,712 : 561,024 = 561,024 : x
  2. Step 2: Convert to fraction form
    371,712/561,024 = 561,024/x
  3. Step 3: Cross multiply
    371,712x = 561,024 × 561,024
  4. Step 4: Simplify right side
    371,712x = 314,747,928,576
  5. Step 5: Solve for x
    x = 314,747,928,576/371,712
  6. Step 6: Final answer
    x = 846,752.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.