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Finding the Third Proportional to 359,274 and 499,537

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Solution

The third proportional to 359,274 and 499,537 is: 694,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,274 : 499,537 = 499,537 : x
  2. Step 2: Convert to fraction form
    359,274/499,537 = 499,537/x
  3. Step 3: Cross multiply
    359,274x = 499,537 × 499,537
  4. Step 4: Simplify right side
    359,274x = 249,537,214,369
  5. Step 5: Solve for x
    x = 249,537,214,369/359,274
  6. Step 6: Final answer
    x = 694,559.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.