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Finding the Third Proportional to 564,336 and 765,576

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Solution

The third proportional to 564,336 and 765,576 is: 1,038,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,336 : 765,576 = 765,576 : x
  2. Step 2: Convert to fraction form
    564,336/765,576 = 765,576/x
  3. Step 3: Cross multiply
    564,336x = 765,576 × 765,576
  4. Step 4: Simplify right side
    564,336x = 586,106,611,776
  5. Step 5: Solve for x
    x = 586,106,611,776/564,336
  6. Step 6: Final answer
    x = 1,038,577.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.