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Finding the Third Proportional to 570,332 and 883,002

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Solution

The third proportional to 570,332 and 883,002 is: 1,367,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,332 : 883,002 = 883,002 : x
  2. Step 2: Convert to fraction form
    570,332/883,002 = 883,002/x
  3. Step 3: Cross multiply
    570,332x = 883,002 × 883,002
  4. Step 4: Simplify right side
    570,332x = 779,692,532,004
  5. Step 5: Solve for x
    x = 779,692,532,004/570,332
  6. Step 6: Final answer
    x = 1,367,085.37

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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.