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Finding the Third Proportional to 533,460 and 750,294

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Solution

The third proportional to 533,460 and 750,294 is: 1,055,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,460 : 750,294 = 750,294 : x
  2. Step 2: Convert to fraction form
    533,460/750,294 = 750,294/x
  3. Step 3: Cross multiply
    533,460x = 750,294 × 750,294
  4. Step 4: Simplify right side
    533,460x = 562,941,086,436
  5. Step 5: Solve for x
    x = 562,941,086,436/533,460
  6. Step 6: Final answer
    x = 1,055,263.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.