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Finding the Third Proportional to 570,301.88 and 882,750.94

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Solution

The third proportional to 570,301.88 and 882,750.94 is: 1,366,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,301.88 : 882,750.94 = 882,750.94 : x
  2. Step 2: Convert to fraction form
    570,301.88/882,750.94 = 882,750.94/x
  3. Step 3: Cross multiply
    570,301.88x = 882,750.94 × 882,750.94
  4. Step 4: Simplify right side
    570,301.88x = 779,249,217,657.13
  5. Step 5: Solve for x
    x = 779,249,217,657.13/570,301.88
  6. Step 6: Final answer
    x = 1,366,380.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.