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Finding the Third Proportional to 295,138 and 652,294

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Solution

The third proportional to 295,138 and 652,294 is: 1,441,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,138 : 652,294 = 652,294 : x
  2. Step 2: Convert to fraction form
    295,138/652,294 = 652,294/x
  3. Step 3: Cross multiply
    295,138x = 652,294 × 652,294
  4. Step 4: Simplify right side
    295,138x = 425,487,462,436
  5. Step 5: Solve for x
    x = 425,487,462,436/295,138
  6. Step 6: Final answer
    x = 1,441,655.98

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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.