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Finding the Third Proportional to 564,864 and 830,000

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Solution

The third proportional to 564,864 and 830,000 is: 1,219,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,864 : 830,000 = 830,000 : x
  2. Step 2: Convert to fraction form
    564,864/830,000 = 830,000/x
  3. Step 3: Cross multiply
    564,864x = 830,000 × 830,000
  4. Step 4: Simplify right side
    564,864x = 688,900,000,000
  5. Step 5: Solve for x
    x = 688,900,000,000/564,864
  6. Step 6: Final answer
    x = 1,219,585.60

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