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Finding the Third Proportional to 602,284 and 880,797

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Solution

The third proportional to 602,284 and 880,797 is: 1,288,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,284 : 880,797 = 880,797 : x
  2. Step 2: Convert to fraction form
    602,284/880,797 = 880,797/x
  3. Step 3: Cross multiply
    602,284x = 880,797 × 880,797
  4. Step 4: Simplify right side
    602,284x = 775,803,355,209
  5. Step 5: Solve for x
    x = 775,803,355,209/602,284
  6. Step 6: Final answer
    x = 1,288,102.22

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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.