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Finding the Third Proportional to 242,737 and 528,082

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Solution

The third proportional to 242,737 and 528,082 is: 1,148,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,737 : 528,082 = 528,082 : x
  2. Step 2: Convert to fraction form
    242,737/528,082 = 528,082/x
  3. Step 3: Cross multiply
    242,737x = 528,082 × 528,082
  4. Step 4: Simplify right side
    242,737x = 278,870,598,724
  5. Step 5: Solve for x
    x = 278,870,598,724/242,737
  6. Step 6: Final answer
    x = 1,148,859.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.