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Finding the Third Proportional to 588,637.13 and 882,955.69

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Solution

The third proportional to 588,637.13 and 882,955.69 is: 1,324,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,637.13 : 882,955.69 = 882,955.69 : x
  2. Step 2: Convert to fraction form
    588,637.13/882,955.69 = 882,955.69/x
  3. Step 3: Cross multiply
    588,637.13x = 882,955.69 × 882,955.69
  4. Step 4: Simplify right side
    588,637.13x = 779,610,746,088.60
  5. Step 5: Solve for x
    x = 779,610,746,088.60/588,637.13
  6. Step 6: Final answer
    x = 1,324,433.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.