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Finding the Third Proportional to 275,085 and 602,658

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Solution

The third proportional to 275,085 and 602,658 is: 1,320,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,085 : 602,658 = 602,658 : x
  2. Step 2: Convert to fraction form
    275,085/602,658 = 602,658/x
  3. Step 3: Cross multiply
    275,085x = 602,658 × 602,658
  4. Step 4: Simplify right side
    275,085x = 363,196,664,964
  5. Step 5: Solve for x
    x = 363,196,664,964/275,085
  6. Step 6: Final answer
    x = 1,320,307.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.