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Finding the Third Proportional to 623,683.50 and 868,948.13

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Solution

The third proportional to 623,683.50 and 868,948.13 is: 1,210,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,683.50 : 868,948.13 = 868,948.13 : x
  2. Step 2: Convert to fraction form
    623,683.50/868,948.13 = 868,948.13/x
  3. Step 3: Cross multiply
    623,683.50x = 868,948.13 × 868,948.13
  4. Step 4: Simplify right side
    623,683.50x = 755,070,843,941.02
  5. Step 5: Solve for x
    x = 755,070,843,941.02/623,683.50
  6. Step 6: Final answer
    x = 1,210,663.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.