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Finding the Third Proportional to 588,402 and 909,207

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Solution

The third proportional to 588,402 and 909,207 is: 1,404,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,402 : 909,207 = 909,207 : x
  2. Step 2: Convert to fraction form
    588,402/909,207 = 909,207/x
  3. Step 3: Cross multiply
    588,402x = 909,207 × 909,207
  4. Step 4: Simplify right side
    588,402x = 826,657,368,849
  5. Step 5: Solve for x
    x = 826,657,368,849/588,402
  6. Step 6: Final answer
    x = 1,404,919.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.