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Finding the Third Proportional to 308,875 and 676,798

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Solution

The third proportional to 308,875 and 676,798 is: 1,482,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,875 : 676,798 = 676,798 : x
  2. Step 2: Convert to fraction form
    308,875/676,798 = 676,798/x
  3. Step 3: Cross multiply
    308,875x = 676,798 × 676,798
  4. Step 4: Simplify right side
    308,875x = 458,055,532,804
  5. Step 5: Solve for x
    x = 458,055,532,804/308,875
  6. Step 6: Final answer
    x = 1,482,980.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.