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Finding the Third Proportional to 575,353.13 and 902,557.69

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Solution

The third proportional to 575,353.13 and 902,557.69 is: 1,415,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,353.13 : 902,557.69 = 902,557.69 : x
  2. Step 2: Convert to fraction form
    575,353.13/902,557.69 = 902,557.69/x
  3. Step 3: Cross multiply
    575,353.13x = 902,557.69 × 902,557.69
  4. Step 4: Simplify right side
    575,353.13x = 814,610,379,265.35
  5. Step 5: Solve for x
    x = 814,610,379,265.35/575,353.13
  6. Step 6: Final answer
    x = 1,415,844.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.