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Finding the Third Proportional to 550,585.50 and 740,989.50

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Solution

The third proportional to 550,585.50 and 740,989.50 is: 997,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,585.50 : 740,989.50 = 740,989.50 : x
  2. Step 2: Convert to fraction form
    550,585.50/740,989.50 = 740,989.50/x
  3. Step 3: Cross multiply
    550,585.50x = 740,989.50 × 740,989.50
  4. Step 4: Simplify right side
    550,585.50x = 549,065,439,110.25
  5. Step 5: Solve for x
    x = 549,065,439,110.25/550,585.50
  6. Step 6: Final answer
    x = 997,239.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.