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Finding the Third Proportional to 586,631.50 and 1,412,763

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Solution

The third proportional to 586,631.50 and 1,412,763 is: 3,402,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,631.50 : 1,412,763 = 1,412,763 : x
  2. Step 2: Convert to fraction form
    586,631.50/1,412,763 = 1,412,763/x
  3. Step 3: Cross multiply
    586,631.50x = 1,412,763 × 1,412,763
  4. Step 4: Simplify right side
    586,631.50x = 1,995,899,294,169
  5. Step 5: Solve for x
    x = 1,995,899,294,169/586,631.50
  6. Step 6: Final answer
    x = 3,402,305.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.