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Finding the Third Proportional to 500,041.50 and 794,349

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Solution

The third proportional to 500,041.50 and 794,349 is: 1,261,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,041.50 : 794,349 = 794,349 : x
  2. Step 2: Convert to fraction form
    500,041.50/794,349 = 794,349/x
  3. Step 3: Cross multiply
    500,041.50x = 794,349 × 794,349
  4. Step 4: Simplify right side
    500,041.50x = 630,990,333,801
  5. Step 5: Solve for x
    x = 630,990,333,801/500,041.50
  6. Step 6: Final answer
    x = 1,261,875.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.