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Finding the Third Proportional to 359,714.25 and 527,907.38

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Solution

The third proportional to 359,714.25 and 527,907.38 is: 774,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,714.25 : 527,907.38 = 527,907.38 : x
  2. Step 2: Convert to fraction form
    359,714.25/527,907.38 = 527,907.38/x
  3. Step 3: Cross multiply
    359,714.25x = 527,907.38 × 527,907.38
  4. Step 4: Simplify right side
    359,714.25x = 278,686,196,579.39
  5. Step 5: Solve for x
    x = 278,686,196,579.39/359,714.25
  6. Step 6: Final answer
    x = 774,743.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.