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Finding the Third Proportional to 319,370 and 500,998

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Solution

The third proportional to 319,370 and 500,998 is: 785,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,370 : 500,998 = 500,998 : x
  2. Step 2: Convert to fraction form
    319,370/500,998 = 500,998/x
  3. Step 3: Cross multiply
    319,370x = 500,998 × 500,998
  4. Step 4: Simplify right side
    319,370x = 250,998,996,004
  5. Step 5: Solve for x
    x = 250,998,996,004/319,370
  6. Step 6: Final answer
    x = 785,919.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.