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Finding the Third Proportional to 602,240 and 880,740

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Solution

The third proportional to 602,240 and 880,740 is: 1,288,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,240 : 880,740 = 880,740 : x
  2. Step 2: Convert to fraction form
    602,240/880,740 = 880,740/x
  3. Step 3: Cross multiply
    602,240x = 880,740 × 880,740
  4. Step 4: Simplify right side
    602,240x = 775,702,947,600
  5. Step 5: Solve for x
    x = 775,702,947,600/602,240
  6. Step 6: Final answer
    x = 1,288,029.60

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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.