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Finding the Third Proportional to 287,560.69 and 623,045.81

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Solution

The third proportional to 287,560.69 and 623,045.81 is: 1,349,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,560.69 : 623,045.81 = 623,045.81 : x
  2. Step 2: Convert to fraction form
    287,560.69/623,045.81 = 623,045.81/x
  3. Step 3: Cross multiply
    287,560.69x = 623,045.81 × 623,045.81
  4. Step 4: Simplify right side
    287,560.69x = 388,186,084,473.79
  5. Step 5: Solve for x
    x = 388,186,084,473.79/287,560.69
  6. Step 6: Final answer
    x = 1,349,927.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.