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Finding the Third Proportional to 248,476 and 536,294

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Solution

The third proportional to 248,476 and 536,294 is: 1,157,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,476 : 536,294 = 536,294 : x
  2. Step 2: Convert to fraction form
    248,476/536,294 = 536,294/x
  3. Step 3: Cross multiply
    248,476x = 536,294 × 536,294
  4. Step 4: Simplify right side
    248,476x = 287,611,254,436
  5. Step 5: Solve for x
    x = 287,611,254,436/248,476
  6. Step 6: Final answer
    x = 1,157,501.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.