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Finding the Third Proportional to 248,368 and 539,942

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Solution

The third proportional to 248,368 and 539,942 is: 1,173,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,368 : 539,942 = 539,942 : x
  2. Step 2: Convert to fraction form
    248,368/539,942 = 539,942/x
  3. Step 3: Cross multiply
    248,368x = 539,942 × 539,942
  4. Step 4: Simplify right side
    248,368x = 291,537,363,364
  5. Step 5: Solve for x
    x = 291,537,363,364/248,368
  6. Step 6: Final answer
    x = 1,173,812.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.