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Finding the Third Proportional to 423,575 and 908,566

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Solution

The third proportional to 423,575 and 908,566 is: 1,948,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,575 : 908,566 = 908,566 : x
  2. Step 2: Convert to fraction form
    423,575/908,566 = 908,566/x
  3. Step 3: Cross multiply
    423,575x = 908,566 × 908,566
  4. Step 4: Simplify right side
    423,575x = 825,492,176,356
  5. Step 5: Solve for x
    x = 825,492,176,356/423,575
  6. Step 6: Final answer
    x = 1,948,868.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.