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Finding the Third Proportional to 257,703 and 390,118.50

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Solution

The third proportional to 257,703 and 390,118.50 is: 590,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,703 : 390,118.50 = 390,118.50 : x
  2. Step 2: Convert to fraction form
    257,703/390,118.50 = 390,118.50/x
  3. Step 3: Cross multiply
    257,703x = 390,118.50 × 390,118.50
  4. Step 4: Simplify right side
    257,703x = 152,192,444,042.25
  5. Step 5: Solve for x
    x = 152,192,444,042.25/257,703
  6. Step 6: Final answer
    x = 590,573.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.