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Finding the Third Proportional to 285,302.25 and 602,430.75

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Solution

The third proportional to 285,302.25 and 602,430.75 is: 1,272,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,302.25 : 602,430.75 = 602,430.75 : x
  2. Step 2: Convert to fraction form
    285,302.25/602,430.75 = 602,430.75/x
  3. Step 3: Cross multiply
    285,302.25x = 602,430.75 × 602,430.75
  4. Step 4: Simplify right side
    285,302.25x = 362,922,808,545.56
  5. Step 5: Solve for x
    x = 362,922,808,545.56/285,302.25
  6. Step 6: Final answer
    x = 1,272,064.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.