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Finding the Third Proportional to 802,880 and 1,174,177.50

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Solution

The third proportional to 802,880 and 1,174,177.50 is: 1,717,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,880 : 1,174,177.50 = 1,174,177.50 : x
  2. Step 2: Convert to fraction form
    802,880/1,174,177.50 = 1,174,177.50/x
  3. Step 3: Cross multiply
    802,880x = 1,174,177.50 × 1,174,177.50
  4. Step 4: Simplify right side
    802,880x = 1,378,692,801,506.25
  5. Step 5: Solve for x
    x = 1,378,692,801,506.25/802,880
  6. Step 6: Final answer
    x = 1,717,184.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.