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Finding the Third Proportional to 570,276.70 and 882,715.22

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Solution

The third proportional to 570,276.70 and 882,715.22 is: 1,366,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,276.70 : 882,715.22 = 882,715.22 : x
  2. Step 2: Convert to fraction form
    570,276.70/882,715.22 = 882,715.22/x
  3. Step 3: Cross multiply
    570,276.70x = 882,715.22 × 882,715.22
  4. Step 4: Simplify right side
    570,276.70x = 779,186,157,412.86
  5. Step 5: Solve for x
    x = 779,186,157,412.86/570,276.70
  6. Step 6: Final answer
    x = 1,366,329.98

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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.