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Finding the Third Proportional to 602,210 and 880,700

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Solution

The third proportional to 602,210 and 880,700 is: 1,287,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,210 : 880,700 = 880,700 : x
  2. Step 2: Convert to fraction form
    602,210/880,700 = 880,700/x
  3. Step 3: Cross multiply
    602,210x = 880,700 × 880,700
  4. Step 4: Simplify right side
    602,210x = 775,632,490,000
  5. Step 5: Solve for x
    x = 775,632,490,000/602,210
  6. Step 6: Final answer
    x = 1,287,976.77

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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.