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Finding the Third Proportional to 245,585.50 and 542,789

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Solution

The third proportional to 245,585.50 and 542,789 is: 1,199,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,585.50 : 542,789 = 542,789 : x
  2. Step 2: Convert to fraction form
    245,585.50/542,789 = 542,789/x
  3. Step 3: Cross multiply
    245,585.50x = 542,789 × 542,789
  4. Step 4: Simplify right side
    245,585.50x = 294,619,898,521
  5. Step 5: Solve for x
    x = 294,619,898,521/245,585.50
  6. Step 6: Final answer
    x = 1,199,663.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.