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Finding the Third Proportional to 319,776 and 692,544

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Solution

The third proportional to 319,776 and 692,544 is: 1,499,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,776 : 692,544 = 692,544 : x
  2. Step 2: Convert to fraction form
    319,776/692,544 = 692,544/x
  3. Step 3: Cross multiply
    319,776x = 692,544 × 692,544
  4. Step 4: Simplify right side
    319,776x = 479,617,191,936
  5. Step 5: Solve for x
    x = 479,617,191,936/319,776
  6. Step 6: Final answer
    x = 1,499,853.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.