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Finding the Third Proportional to 564,840 and 790,034

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Solution

The third proportional to 564,840 and 790,034 is: 1,105,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,840 : 790,034 = 790,034 : x
  2. Step 2: Convert to fraction form
    564,840/790,034 = 790,034/x
  3. Step 3: Cross multiply
    564,840x = 790,034 × 790,034
  4. Step 4: Simplify right side
    564,840x = 624,153,721,156
  5. Step 5: Solve for x
    x = 624,153,721,156/564,840
  6. Step 6: Final answer
    x = 1,105,009.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.