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Finding the Third Proportional to 438,306 and 910,308

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Solution

The third proportional to 438,306 and 910,308 is: 1,890,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,306 : 910,308 = 910,308 : x
  2. Step 2: Convert to fraction form
    438,306/910,308 = 910,308/x
  3. Step 3: Cross multiply
    438,306x = 910,308 × 910,308
  4. Step 4: Simplify right side
    438,306x = 828,660,654,864
  5. Step 5: Solve for x
    x = 828,660,654,864/438,306
  6. Step 6: Final answer
    x = 1,890,598.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.