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Finding the Third Proportional to 566,002.69 and 841,296.38

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Solution

The third proportional to 566,002.69 and 841,296.38 is: 1,250,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,002.69 : 841,296.38 = 841,296.38 : x
  2. Step 2: Convert to fraction form
    566,002.69/841,296.38 = 841,296.38/x
  3. Step 3: Cross multiply
    566,002.69x = 841,296.38 × 841,296.38
  4. Step 4: Simplify right side
    566,002.69x = 707,779,590,588.14
  5. Step 5: Solve for x
    x = 707,779,590,588.14/566,002.69
  6. Step 6: Final answer
    x = 1,250,488.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.