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Finding the Third Proportional to 243,683 and 506,866.50

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Solution

The third proportional to 243,683 and 506,866.50 is: 1,054,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,683 : 506,866.50 = 506,866.50 : x
  2. Step 2: Convert to fraction form
    243,683/506,866.50 = 506,866.50/x
  3. Step 3: Cross multiply
    243,683x = 506,866.50 × 506,866.50
  4. Step 4: Simplify right side
    243,683x = 256,913,648,822.25
  5. Step 5: Solve for x
    x = 256,913,648,822.25/243,683
  6. Step 6: Final answer
    x = 1,054,294.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.