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Finding the Third Proportional to 232,264 and 508,792

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Solution

The third proportional to 232,264 and 508,792 is: 1,114,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,264 : 508,792 = 508,792 : x
  2. Step 2: Convert to fraction form
    232,264/508,792 = 508,792/x
  3. Step 3: Cross multiply
    232,264x = 508,792 × 508,792
  4. Step 4: Simplify right side
    232,264x = 258,869,299,264
  5. Step 5: Solve for x
    x = 258,869,299,264/232,264
  6. Step 6: Final answer
    x = 1,114,547.67

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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.