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Finding the Third Proportional to 564,823.13 and 790,008.19

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Solution

The third proportional to 564,823.13 and 790,008.19 is: 1,104,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,823.13 : 790,008.19 = 790,008.19 : x
  2. Step 2: Convert to fraction form
    564,823.13/790,008.19 = 790,008.19/x
  3. Step 3: Cross multiply
    564,823.13x = 790,008.19 × 790,008.19
  4. Step 4: Simplify right side
    564,823.13x = 624,112,936,317.04
  5. Step 5: Solve for x
    x = 624,112,936,317.04/564,823.13
  6. Step 6: Final answer
    x = 1,104,970.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.