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Finding the Third Proportional to 507,345.75 and 802,761.75

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Solution

The third proportional to 507,345.75 and 802,761.75 is: 1,270,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,345.75 : 802,761.75 = 802,761.75 : x
  2. Step 2: Convert to fraction form
    507,345.75/802,761.75 = 802,761.75/x
  3. Step 3: Cross multiply
    507,345.75x = 802,761.75 × 802,761.75
  4. Step 4: Simplify right side
    507,345.75x = 644,426,427,263.06
  5. Step 5: Solve for x
    x = 644,426,427,263.06/507,345.75
  6. Step 6: Final answer
    x = 1,270,191.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.