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Finding the Third Proportional to 570,334 and 883,005

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Solution

The third proportional to 570,334 and 883,005 is: 1,367,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,334 : 883,005 = 883,005 : x
  2. Step 2: Convert to fraction form
    570,334/883,005 = 883,005/x
  3. Step 3: Cross multiply
    570,334x = 883,005 × 883,005
  4. Step 4: Simplify right side
    570,334x = 779,697,830,025
  5. Step 5: Solve for x
    x = 779,697,830,025/570,334
  6. Step 6: Final answer
    x = 1,367,089.86

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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.