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Finding the Third Proportional to 570,452 and 897,222

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Solution

The third proportional to 570,452 and 897,222 is: 1,411,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,452 : 897,222 = 897,222 : x
  2. Step 2: Convert to fraction form
    570,452/897,222 = 897,222/x
  3. Step 3: Cross multiply
    570,452x = 897,222 × 897,222
  4. Step 4: Simplify right side
    570,452x = 805,007,317,284
  5. Step 5: Solve for x
    x = 805,007,317,284/570,452
  6. Step 6: Final answer
    x = 1,411,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.