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Finding the Third Proportional to 359,254 and 499,513

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Solution

The third proportional to 359,254 and 499,513 is: 694,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,254 : 499,513 = 499,513 : x
  2. Step 2: Convert to fraction form
    359,254/499,513 = 499,513/x
  3. Step 3: Cross multiply
    359,254x = 499,513 × 499,513
  4. Step 4: Simplify right side
    359,254x = 249,513,237,169
  5. Step 5: Solve for x
    x = 249,513,237,169/359,254
  6. Step 6: Final answer
    x = 694,531.55

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Why These Related Problems?

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