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Finding the Third Proportional to 475,481 and 705,362

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Solution

The third proportional to 475,481 and 705,362 is: 1,046,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,481 : 705,362 = 705,362 : x
  2. Step 2: Convert to fraction form
    475,481/705,362 = 705,362/x
  3. Step 3: Cross multiply
    475,481x = 705,362 × 705,362
  4. Step 4: Simplify right side
    475,481x = 497,535,551,044
  5. Step 5: Solve for x
    x = 497,535,551,044/475,481
  6. Step 6: Final answer
    x = 1,046,383.66

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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.