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Finding the Third Proportional to 422,643 and 626,980.50

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Solution

The third proportional to 422,643 and 626,980.50 is: 930,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,643 : 626,980.50 = 626,980.50 : x
  2. Step 2: Convert to fraction form
    422,643/626,980.50 = 626,980.50/x
  3. Step 3: Cross multiply
    422,643x = 626,980.50 × 626,980.50
  4. Step 4: Simplify right side
    422,643x = 393,104,547,380.25
  5. Step 5: Solve for x
    x = 393,104,547,380.25/422,643
  6. Step 6: Final answer
    x = 930,110.16

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.