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Finding the Third Proportional to 476,613 and 698,881.50

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Solution

The third proportional to 476,613 and 698,881.50 is: 1,024,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,613 : 698,881.50 = 698,881.50 : x
  2. Step 2: Convert to fraction form
    476,613/698,881.50 = 698,881.50/x
  3. Step 3: Cross multiply
    476,613x = 698,881.50 × 698,881.50
  4. Step 4: Simplify right side
    476,613x = 488,435,351,042.25
  5. Step 5: Solve for x
    x = 488,435,351,042.25/476,613
  6. Step 6: Final answer
    x = 1,024,804.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.