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Finding the Third Proportional to 564,868 and 830,006

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Solution

The third proportional to 564,868 and 830,006 is: 1,219,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,868 : 830,006 = 830,006 : x
  2. Step 2: Convert to fraction form
    564,868/830,006 = 830,006/x
  3. Step 3: Cross multiply
    564,868x = 830,006 × 830,006
  4. Step 4: Simplify right side
    564,868x = 688,909,960,036
  5. Step 5: Solve for x
    x = 688,909,960,036/564,868
  6. Step 6: Final answer
    x = 1,219,594.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.