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Finding the Third Proportional to 578,043 and 889,177.50

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Solution

The third proportional to 578,043 and 889,177.50 is: 1,367,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,043 : 889,177.50 = 889,177.50 : x
  2. Step 2: Convert to fraction form
    578,043/889,177.50 = 889,177.50/x
  3. Step 3: Cross multiply
    578,043x = 889,177.50 × 889,177.50
  4. Step 4: Simplify right side
    578,043x = 790,636,626,506.25
  5. Step 5: Solve for x
    x = 790,636,626,506.25/578,043
  6. Step 6: Final answer
    x = 1,367,781.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.