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Finding the Third Proportional to 364,854.50 and 783,654.50

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Solution

The third proportional to 364,854.50 and 783,654.50 is: 1,683,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,854.50 : 783,654.50 = 783,654.50 : x
  2. Step 2: Convert to fraction form
    364,854.50/783,654.50 = 783,654.50/x
  3. Step 3: Cross multiply
    364,854.50x = 783,654.50 × 783,654.50
  4. Step 4: Simplify right side
    364,854.50x = 614,114,375,370.25
  5. Step 5: Solve for x
    x = 614,114,375,370.25/364,854.50
  6. Step 6: Final answer
    x = 1,683,176.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.