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Finding the Third Proportional to 417,703.50 and 1,005,925.50

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Solution

The third proportional to 417,703.50 and 1,005,925.50 is: 2,422,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,703.50 : 1,005,925.50 = 1,005,925.50 : x
  2. Step 2: Convert to fraction form
    417,703.50/1,005,925.50 = 1,005,925.50/x
  3. Step 3: Cross multiply
    417,703.50x = 1,005,925.50 × 1,005,925.50
  4. Step 4: Simplify right side
    417,703.50x = 1,011,886,111,550.25
  5. Step 5: Solve for x
    x = 1,011,886,111,550.25/417,703.50
  6. Step 6: Final answer
    x = 2,422,498.52

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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.