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Finding the Third Proportional to 564,817 and 860,476

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Solution

The third proportional to 564,817 and 860,476 is: 1,310,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,817 : 860,476 = 860,476 : x
  2. Step 2: Convert to fraction form
    564,817/860,476 = 860,476/x
  3. Step 3: Cross multiply
    564,817x = 860,476 × 860,476
  4. Step 4: Simplify right side
    564,817x = 740,418,946,576
  5. Step 5: Solve for x
    x = 740,418,946,576/564,817
  6. Step 6: Final answer
    x = 1,310,900.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.