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Finding the Third Proportional to 282,875,354 and 422,570,900

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Solution

The third proportional to 282,875,354 and 422,570,900 is: 631,253,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,875,354 : 422,570,900 = 422,570,900 : x
  2. Step 2: Convert to fraction form
    282,875,354/422,570,900 = 422,570,900/x
  3. Step 3: Cross multiply
    282,875,354x = 422,570,900 × 422,570,900
  4. Step 4: Simplify right side
    282,875,354x = 178,566,165,526,809,984
  5. Step 5: Solve for x
    x = 178,566,165,526,809,984/282,875,354
  6. Step 6: Final answer
    x = 631,253,882.68

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