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Finding the Third Proportional to 249,110 and 544,978

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Solution

The third proportional to 249,110 and 544,978 is: 1,192,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,110 : 544,978 = 544,978 : x
  2. Step 2: Convert to fraction form
    249,110/544,978 = 544,978/x
  3. Step 3: Cross multiply
    249,110x = 544,978 × 544,978
  4. Step 4: Simplify right side
    249,110x = 297,001,020,484
  5. Step 5: Solve for x
    x = 297,001,020,484/249,110
  6. Step 6: Final answer
    x = 1,192,248.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.