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Finding the Third Proportional to 348,294 and 711,348

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Solution

The third proportional to 348,294 and 711,348 is: 1,452,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,294 : 711,348 = 711,348 : x
  2. Step 2: Convert to fraction form
    348,294/711,348 = 711,348/x
  3. Step 3: Cross multiply
    348,294x = 711,348 × 711,348
  4. Step 4: Simplify right side
    348,294x = 506,015,977,104
  5. Step 5: Solve for x
    x = 506,015,977,104/348,294
  6. Step 6: Final answer
    x = 1,452,841.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.