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Finding the Third Proportional to 359,210 and 552,291

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Solution

The third proportional to 359,210 and 552,291 is: 849,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,210 : 552,291 = 552,291 : x
  2. Step 2: Convert to fraction form
    359,210/552,291 = 552,291/x
  3. Step 3: Cross multiply
    359,210x = 552,291 × 552,291
  4. Step 4: Simplify right side
    359,210x = 305,025,348,681
  5. Step 5: Solve for x
    x = 305,025,348,681/359,210
  6. Step 6: Final answer
    x = 849,156.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.