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Finding the Third Proportional to 275,574 and 390,046.50

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Solution

The third proportional to 275,574 and 390,046.50 is: 552,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,574 : 390,046.50 = 390,046.50 : x
  2. Step 2: Convert to fraction form
    275,574/390,046.50 = 390,046.50/x
  3. Step 3: Cross multiply
    275,574x = 390,046.50 × 390,046.50
  4. Step 4: Simplify right side
    275,574x = 152,136,272,162.25
  5. Step 5: Solve for x
    x = 152,136,272,162.25/275,574
  6. Step 6: Final answer
    x = 552,070.49

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.