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Finding the Third Proportional to 380,948 and 602,700

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Solution

The third proportional to 380,948 and 602,700 is: 953,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,948 : 602,700 = 602,700 : x
  2. Step 2: Convert to fraction form
    380,948/602,700 = 602,700/x
  3. Step 3: Cross multiply
    380,948x = 602,700 × 602,700
  4. Step 4: Simplify right side
    380,948x = 363,247,290,000
  5. Step 5: Solve for x
    x = 363,247,290,000/380,948
  6. Step 6: Final answer
    x = 953,535.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.