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Finding the Third Proportional to 245,292 and 359,862

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Solution

The third proportional to 245,292 and 359,862 is: 527,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,292 : 359,862 = 359,862 : x
  2. Step 2: Convert to fraction form
    245,292/359,862 = 359,862/x
  3. Step 3: Cross multiply
    245,292x = 359,862 × 359,862
  4. Step 4: Simplify right side
    245,292x = 129,500,659,044
  5. Step 5: Solve for x
    x = 129,500,659,044/245,292
  6. Step 6: Final answer
    x = 527,944.89

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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.