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Finding the Third Proportional to 602,207 and 880,696

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Solution

The third proportional to 602,207 and 880,696 is: 1,287,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,207 : 880,696 = 880,696 : x
  2. Step 2: Convert to fraction form
    602,207/880,696 = 880,696/x
  3. Step 3: Cross multiply
    602,207x = 880,696 × 880,696
  4. Step 4: Simplify right side
    602,207x = 775,625,444,416
  5. Step 5: Solve for x
    x = 775,625,444,416/602,207
  6. Step 6: Final answer
    x = 1,287,971.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.