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Finding the Third Proportional to 696,465 and 1,050,288.75

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Solution

The third proportional to 696,465 and 1,050,288.75 is: 1,583,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,465 : 1,050,288.75 = 1,050,288.75 : x
  2. Step 2: Convert to fraction form
    696,465/1,050,288.75 = 1,050,288.75/x
  3. Step 3: Cross multiply
    696,465x = 1,050,288.75 × 1,050,288.75
  4. Step 4: Simplify right side
    696,465x = 1,103,106,458,376.56
  5. Step 5: Solve for x
    x = 1,103,106,458,376.56/696,465
  6. Step 6: Final answer
    x = 1,583,864.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.