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Finding the Third Proportional to 508,275 and 745,432

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Solution

The third proportional to 508,275 and 745,432 is: 1,093,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,275 : 745,432 = 745,432 : x
  2. Step 2: Convert to fraction form
    508,275/745,432 = 745,432/x
  3. Step 3: Cross multiply
    508,275x = 745,432 × 745,432
  4. Step 4: Simplify right side
    508,275x = 555,668,866,624
  5. Step 5: Solve for x
    x = 555,668,866,624/508,275
  6. Step 6: Final answer
    x = 1,093,244.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.