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Finding the Third Proportional to 187,035 and 403,594.50

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Solution

The third proportional to 187,035 and 403,594.50 is: 870,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,035 : 403,594.50 = 403,594.50 : x
  2. Step 2: Convert to fraction form
    187,035/403,594.50 = 403,594.50/x
  3. Step 3: Cross multiply
    187,035x = 403,594.50 × 403,594.50
  4. Step 4: Simplify right side
    187,035x = 162,888,520,430.25
  5. Step 5: Solve for x
    x = 162,888,520,430.25/187,035
  6. Step 6: Final answer
    x = 870,898.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.