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Finding the Third Proportional to 235,468 and 508,650

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Solution

The third proportional to 235,468 and 508,650 is: 1,098,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,468 : 508,650 = 508,650 : x
  2. Step 2: Convert to fraction form
    235,468/508,650 = 508,650/x
  3. Step 3: Cross multiply
    235,468x = 508,650 × 508,650
  4. Step 4: Simplify right side
    235,468x = 258,724,822,500
  5. Step 5: Solve for x
    x = 258,724,822,500/235,468
  6. Step 6: Final answer
    x = 1,098,768.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.