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Finding the Third Proportional to 330,352 and 707,344

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Solution

The third proportional to 330,352 and 707,344 is: 1,514,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,352 : 707,344 = 707,344 : x
  2. Step 2: Convert to fraction form
    330,352/707,344 = 707,344/x
  3. Step 3: Cross multiply
    330,352x = 707,344 × 707,344
  4. Step 4: Simplify right side
    330,352x = 500,335,534,336
  5. Step 5: Solve for x
    x = 500,335,534,336/330,352
  6. Step 6: Final answer
    x = 1,514,552.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.