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Finding the Third Proportional to 570,720 and 884,928

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Solution

The third proportional to 570,720 and 884,928 is: 1,372,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,720 : 884,928 = 884,928 : x
  2. Step 2: Convert to fraction form
    570,720/884,928 = 884,928/x
  3. Step 3: Cross multiply
    570,720x = 884,928 × 884,928
  4. Step 4: Simplify right side
    570,720x = 783,097,565,184
  5. Step 5: Solve for x
    x = 783,097,565,184/570,720
  6. Step 6: Final answer
    x = 1,372,122.17

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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.