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Finding the Third Proportional to 301,543 and 634,082

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Solution

The third proportional to 301,543 and 634,082 is: 1,333,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,543 : 634,082 = 634,082 : x
  2. Step 2: Convert to fraction form
    301,543/634,082 = 634,082/x
  3. Step 3: Cross multiply
    301,543x = 634,082 × 634,082
  4. Step 4: Simplify right side
    301,543x = 402,059,982,724
  5. Step 5: Solve for x
    x = 402,059,982,724/301,543
  6. Step 6: Final answer
    x = 1,333,342.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.