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Finding the Third Proportional to 423,456 and 908,316

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Solution

The third proportional to 423,456 and 908,316 is: 1,948,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,456 : 908,316 = 908,316 : x
  2. Step 2: Convert to fraction form
    423,456/908,316 = 908,316/x
  3. Step 3: Cross multiply
    423,456x = 908,316 × 908,316
  4. Step 4: Simplify right side
    423,456x = 825,037,955,856
  5. Step 5: Solve for x
    x = 825,037,955,856/423,456
  6. Step 6: Final answer
    x = 1,948,344.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.