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Finding the Third Proportional to 586,267.64 and 875,950.36

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Solution

The third proportional to 586,267.64 and 875,950.36 is: 1,308,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,267.64 : 875,950.36 = 875,950.36 : x
  2. Step 2: Convert to fraction form
    586,267.64/875,950.36 = 875,950.36/x
  3. Step 3: Cross multiply
    586,267.64x = 875,950.36 × 875,950.36
  4. Step 4: Simplify right side
    586,267.64x = 767,289,040,429.61
  5. Step 5: Solve for x
    x = 767,289,040,429.61/586,267.64
  6. Step 6: Final answer
    x = 1,308,769.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.