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Finding the Third Proportional to 597,352 and 914,207

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Solution

The third proportional to 597,352 and 914,207 is: 1,399,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,352 : 914,207 = 914,207 : x
  2. Step 2: Convert to fraction form
    597,352/914,207 = 914,207/x
  3. Step 3: Cross multiply
    597,352x = 914,207 × 914,207
  4. Step 4: Simplify right side
    597,352x = 835,774,438,849
  5. Step 5: Solve for x
    x = 835,774,438,849/597,352
  6. Step 6: Final answer
    x = 1,399,132.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.