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Finding the Third Proportional to 359,271 and 499,531.50

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Solution

The third proportional to 359,271 and 499,531.50 is: 694,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,271 : 499,531.50 = 499,531.50 : x
  2. Step 2: Convert to fraction form
    359,271/499,531.50 = 499,531.50/x
  3. Step 3: Cross multiply
    359,271x = 499,531.50 × 499,531.50
  4. Step 4: Simplify right side
    359,271x = 249,531,719,492.25
  5. Step 5: Solve for x
    x = 249,531,719,492.25/359,271
  6. Step 6: Final answer
    x = 694,550.13

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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.