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Finding the Third Proportional to 295,134 and 652,292

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Solution

The third proportional to 295,134 and 652,292 is: 1,441,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,134 : 652,292 = 652,292 : x
  2. Step 2: Convert to fraction form
    295,134/652,292 = 652,292/x
  3. Step 3: Cross multiply
    295,134x = 652,292 × 652,292
  4. Step 4: Simplify right side
    295,134x = 425,484,853,264
  5. Step 5: Solve for x
    x = 425,484,853,264/295,134
  6. Step 6: Final answer
    x = 1,441,666.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.