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Finding the Third Proportional to 602,662 and 884,310

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Solution

The third proportional to 602,662 and 884,310 is: 1,297,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,662 : 884,310 = 884,310 : x
  2. Step 2: Convert to fraction form
    602,662/884,310 = 884,310/x
  3. Step 3: Cross multiply
    602,662x = 884,310 × 884,310
  4. Step 4: Simplify right side
    602,662x = 782,004,176,100
  5. Step 5: Solve for x
    x = 782,004,176,100/602,662
  6. Step 6: Final answer
    x = 1,297,583.35

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Why These Related Problems?

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