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Finding the Third Proportional to 607,074 and 877,050

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Solution

The third proportional to 607,074 and 877,050 is: 1,267,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,074 : 877,050 = 877,050 : x
  2. Step 2: Convert to fraction form
    607,074/877,050 = 877,050/x
  3. Step 3: Cross multiply
    607,074x = 877,050 × 877,050
  4. Step 4: Simplify right side
    607,074x = 769,216,702,500
  5. Step 5: Solve for x
    x = 769,216,702,500/607,074
  6. Step 6: Final answer
    x = 1,267,088.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.