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Finding the Third Proportional to 402,894 and 604,341

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Solution

The third proportional to 402,894 and 604,341 is: 906,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,894 : 604,341 = 604,341 : x
  2. Step 2: Convert to fraction form
    402,894/604,341 = 604,341/x
  3. Step 3: Cross multiply
    402,894x = 604,341 × 604,341
  4. Step 4: Simplify right side
    402,894x = 365,228,044,281
  5. Step 5: Solve for x
    x = 365,228,044,281/402,894
  6. Step 6: Final answer
    x = 906,511.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.