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Finding the Third Proportional to 287,561.81 and 604,869.19

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Solution

The third proportional to 287,561.81 and 604,869.19 is: 1,272,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,561.81 : 604,869.19 = 604,869.19 : x
  2. Step 2: Convert to fraction form
    287,561.81/604,869.19 = 604,869.19/x
  3. Step 3: Cross multiply
    287,561.81x = 604,869.19 × 604,869.19
  4. Step 4: Simplify right side
    287,561.81x = 365,866,733,986.91
  5. Step 5: Solve for x
    x = 365,866,733,986.91/287,561.81
  6. Step 6: Final answer
    x = 1,272,306.40

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