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Finding the Third Proportional to 708,835.50 and 1,535,769

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Solution

The third proportional to 708,835.50 and 1,535,769 is: 3,327,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,835.50 : 1,535,769 = 1,535,769 : x
  2. Step 2: Convert to fraction form
    708,835.50/1,535,769 = 1,535,769/x
  3. Step 3: Cross multiply
    708,835.50x = 1,535,769 × 1,535,769
  4. Step 4: Simplify right side
    708,835.50x = 2,358,586,421,361
  5. Step 5: Solve for x
    x = 2,358,586,421,361/708,835.50
  6. Step 6: Final answer
    x = 3,327,410.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.