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Finding the Third Proportional to 359,810 and 528,049

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Solution

The third proportional to 359,810 and 528,049 is: 774,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,810 : 528,049 = 528,049 : x
  2. Step 2: Convert to fraction form
    359,810/528,049 = 528,049/x
  3. Step 3: Cross multiply
    359,810x = 528,049 × 528,049
  4. Step 4: Simplify right side
    359,810x = 278,835,746,401
  5. Step 5: Solve for x
    x = 278,835,746,401/359,810
  6. Step 6: Final answer
    x = 774,952.74

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