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Finding the Third Proportional to 359,002 and 729,776

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Solution

The third proportional to 359,002 and 729,776 is: 1,483,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,002 : 729,776 = 729,776 : x
  2. Step 2: Convert to fraction form
    359,002/729,776 = 729,776/x
  3. Step 3: Cross multiply
    359,002x = 729,776 × 729,776
  4. Step 4: Simplify right side
    359,002x = 532,573,010,176
  5. Step 5: Solve for x
    x = 532,573,010,176/359,002
  6. Step 6: Final answer
    x = 1,483,482.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.