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Finding the Third Proportional to 372,528 and 562,392

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Solution

The third proportional to 372,528 and 562,392 is: 849,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,528 : 562,392 = 562,392 : x
  2. Step 2: Convert to fraction form
    372,528/562,392 = 562,392/x
  3. Step 3: Cross multiply
    372,528x = 562,392 × 562,392
  4. Step 4: Simplify right side
    372,528x = 316,284,761,664
  5. Step 5: Solve for x
    x = 316,284,761,664/372,528
  6. Step 6: Final answer
    x = 849,022.79

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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.