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Finding the Third Proportional to 482,574 and 751,437

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Solution

The third proportional to 482,574 and 751,437 is: 1,170,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,574 : 751,437 = 751,437 : x
  2. Step 2: Convert to fraction form
    482,574/751,437 = 751,437/x
  3. Step 3: Cross multiply
    482,574x = 751,437 × 751,437
  4. Step 4: Simplify right side
    482,574x = 564,657,564,969
  5. Step 5: Solve for x
    x = 564,657,564,969/482,574
  6. Step 6: Final answer
    x = 1,170,095.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.