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Finding the Third Proportional to 431,572 and 660,497

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Solution

The third proportional to 431,572 and 660,497 is: 1,010,854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,572 : 660,497 = 660,497 : x
  2. Step 2: Convert to fraction form
    431,572/660,497 = 660,497/x
  3. Step 3: Cross multiply
    431,572x = 660,497 × 660,497
  4. Step 4: Simplify right side
    431,572x = 436,256,287,009
  5. Step 5: Solve for x
    x = 436,256,287,009/431,572
  6. Step 6: Final answer
    x = 1,010,854.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.