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Finding the Third Proportional to 602,914.50 and 959,724

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Solution

The third proportional to 602,914.50 and 959,724 is: 1,527,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,914.50 : 959,724 = 959,724 : x
  2. Step 2: Convert to fraction form
    602,914.50/959,724 = 959,724/x
  3. Step 3: Cross multiply
    602,914.50x = 959,724 × 959,724
  4. Step 4: Simplify right side
    602,914.50x = 921,070,156,176
  5. Step 5: Solve for x
    x = 921,070,156,176/602,914.50
  6. Step 6: Final answer
    x = 1,527,696.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.