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Finding the Third Proportional to 435,882 and 660,342

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Solution

The third proportional to 435,882 and 660,342 is: 1,000,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,882 : 660,342 = 660,342 : x
  2. Step 2: Convert to fraction form
    435,882/660,342 = 660,342/x
  3. Step 3: Cross multiply
    435,882x = 660,342 × 660,342
  4. Step 4: Simplify right side
    435,882x = 436,051,556,964
  5. Step 5: Solve for x
    x = 436,051,556,964/435,882
  6. Step 6: Final answer
    x = 1,000,389.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.