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Finding the Third Proportional to 242,358 and 524,460

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Solution

The third proportional to 242,358 and 524,460 is: 1,134,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,358 : 524,460 = 524,460 : x
  2. Step 2: Convert to fraction form
    242,358/524,460 = 524,460/x
  3. Step 3: Cross multiply
    242,358x = 524,460 × 524,460
  4. Step 4: Simplify right side
    242,358x = 275,058,291,600
  5. Step 5: Solve for x
    x = 275,058,291,600/242,358
  6. Step 6: Final answer
    x = 1,134,925.57

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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.