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Finding the Third Proportional to 564,252.75 and 874,675.13

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Solution

The third proportional to 564,252.75 and 874,675.13 is: 1,355,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,252.75 : 874,675.13 = 874,675.13 : x
  2. Step 2: Convert to fraction form
    564,252.75/874,675.13 = 874,675.13/x
  3. Step 3: Cross multiply
    564,252.75x = 874,675.13 × 874,675.13
  4. Step 4: Simplify right side
    564,252.75x = 765,056,574,293.77
  5. Step 5: Solve for x
    x = 765,056,574,293.77/564,252.75
  6. Step 6: Final answer
    x = 1,355,875.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.