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Finding the Third Proportional to 550,282 and 723,618

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Solution

The third proportional to 550,282 and 723,618 is: 951,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,282 : 723,618 = 723,618 : x
  2. Step 2: Convert to fraction form
    550,282/723,618 = 723,618/x
  3. Step 3: Cross multiply
    550,282x = 723,618 × 723,618
  4. Step 4: Simplify right side
    550,282x = 523,623,009,924
  5. Step 5: Solve for x
    x = 523,623,009,924/550,282
  6. Step 6: Final answer
    x = 951,553.95

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.