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Finding the Third Proportional to 282,875,274 and 422,570,883

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Solution

The third proportional to 282,875,274 and 422,570,883 is: 631,254,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,875,274 : 422,570,883 = 422,570,883 : x
  2. Step 2: Convert to fraction form
    282,875,274/422,570,883 = 422,570,883/x
  3. Step 3: Cross multiply
    282,875,274x = 422,570,883 × 422,570,883
  4. Step 4: Simplify right side
    282,875,274x = 178,566,151,159,399,680
  5. Step 5: Solve for x
    x = 178,566,151,159,399,680/282,875,274
  6. Step 6: Final answer
    x = 631,254,010.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.