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Finding the Third Proportional to 564,813 and 790,006.50

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Solution

The third proportional to 564,813 and 790,006.50 is: 1,104,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,813 : 790,006.50 = 790,006.50 : x
  2. Step 2: Convert to fraction form
    564,813/790,006.50 = 790,006.50/x
  3. Step 3: Cross multiply
    564,813x = 790,006.50 × 790,006.50
  4. Step 4: Simplify right side
    564,813x = 624,110,270,042.25
  5. Step 5: Solve for x
    x = 624,110,270,042.25/564,813
  6. Step 6: Final answer
    x = 1,104,985.67

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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.