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Finding the Third Proportional to 359,354 and 598,871

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Solution

The third proportional to 359,354 and 598,871 is: 998,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,354 : 598,871 = 598,871 : x
  2. Step 2: Convert to fraction form
    359,354/598,871 = 598,871/x
  3. Step 3: Cross multiply
    359,354x = 598,871 × 598,871
  4. Step 4: Simplify right side
    359,354x = 358,646,474,641
  5. Step 5: Solve for x
    x = 358,646,474,641/359,354
  6. Step 6: Final answer
    x = 998,031.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.