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Finding the Third Proportional to 564,907.50 and 790,137

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Solution

The third proportional to 564,907.50 and 790,137 is: 1,105,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,907.50 : 790,137 = 790,137 : x
  2. Step 2: Convert to fraction form
    564,907.50/790,137 = 790,137/x
  3. Step 3: Cross multiply
    564,907.50x = 790,137 × 790,137
  4. Step 4: Simplify right side
    564,907.50x = 624,316,478,769
  5. Step 5: Solve for x
    x = 624,316,478,769/564,907.50
  6. Step 6: Final answer
    x = 1,105,165.85

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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.