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Finding the Third Proportional to 287,553.75 and 604,854.75

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Solution

The third proportional to 287,553.75 and 604,854.75 is: 1,272,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,553.75 : 604,854.75 = 604,854.75 : x
  2. Step 2: Convert to fraction form
    287,553.75/604,854.75 = 604,854.75/x
  3. Step 3: Cross multiply
    287,553.75x = 604,854.75 × 604,854.75
  4. Step 4: Simplify right side
    287,553.75x = 365,849,268,597.56
  5. Step 5: Solve for x
    x = 365,849,268,597.56/287,553.75
  6. Step 6: Final answer
    x = 1,272,281.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.