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Finding the Third Proportional to 602,294 and 880,779

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Solution

The third proportional to 602,294 and 880,779 is: 1,288,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,294 : 880,779 = 880,779 : x
  2. Step 2: Convert to fraction form
    602,294/880,779 = 880,779/x
  3. Step 3: Cross multiply
    602,294x = 880,779 × 880,779
  4. Step 4: Simplify right side
    602,294x = 775,771,646,841
  5. Step 5: Solve for x
    x = 775,771,646,841/602,294
  6. Step 6: Final answer
    x = 1,288,028.18

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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.