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Finding the Third Proportional to 475,486 and 705,369

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Solution

The third proportional to 475,486 and 705,369 is: 1,046,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,486 : 705,369 = 705,369 : x
  2. Step 2: Convert to fraction form
    475,486/705,369 = 705,369/x
  3. Step 3: Cross multiply
    475,486x = 705,369 × 705,369
  4. Step 4: Simplify right side
    475,486x = 497,545,426,161
  5. Step 5: Solve for x
    x = 497,545,426,161/475,486
  6. Step 6: Final answer
    x = 1,046,393.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.