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Finding the Third Proportional to 700,417 and 1,025,777.50

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Solution

The third proportional to 700,417 and 1,025,777.50 is: 1,502,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,417 : 1,025,777.50 = 1,025,777.50 : x
  2. Step 2: Convert to fraction form
    700,417/1,025,777.50 = 1,025,777.50/x
  3. Step 3: Cross multiply
    700,417x = 1,025,777.50 × 1,025,777.50
  4. Step 4: Simplify right side
    700,417x = 1,052,219,479,506.25
  5. Step 5: Solve for x
    x = 1,052,219,479,506.25/700,417
  6. Step 6: Final answer
    x = 1,502,275.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.