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Finding the Third Proportional to 570,480 and 897,228

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Solution

The third proportional to 570,480 and 897,228 is: 1,411,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,480 : 897,228 = 897,228 : x
  2. Step 2: Convert to fraction form
    570,480/897,228 = 897,228/x
  3. Step 3: Cross multiply
    570,480x = 897,228 × 897,228
  4. Step 4: Simplify right side
    570,480x = 805,018,083,984
  5. Step 5: Solve for x
    x = 805,018,083,984/570,480
  6. Step 6: Final answer
    x = 1,411,124.11

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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.