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Finding the Third Proportional to 564,895 and 790,122.50

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Solution

The third proportional to 564,895 and 790,122.50 is: 1,105,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,895 : 790,122.50 = 790,122.50 : x
  2. Step 2: Convert to fraction form
    564,895/790,122.50 = 790,122.50/x
  3. Step 3: Cross multiply
    564,895x = 790,122.50 × 790,122.50
  4. Step 4: Simplify right side
    564,895x = 624,293,565,006.25
  5. Step 5: Solve for x
    x = 624,293,565,006.25/564,895
  6. Step 6: Final answer
    x = 1,105,149.74

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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.