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Finding the Third Proportional to 423,228.50 and 904,695.50

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Solution

The third proportional to 423,228.50 and 904,695.50 is: 1,933,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,228.50 : 904,695.50 = 904,695.50 : x
  2. Step 2: Convert to fraction form
    423,228.50/904,695.50 = 904,695.50/x
  3. Step 3: Cross multiply
    423,228.50x = 904,695.50 × 904,695.50
  4. Step 4: Simplify right side
    423,228.50x = 818,473,947,720.25
  5. Step 5: Solve for x
    x = 818,473,947,720.25/423,228.50
  6. Step 6: Final answer
    x = 1,933,881.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.