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Finding the Third Proportional to 476,643 and 698,926.50

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Solution

The third proportional to 476,643 and 698,926.50 is: 1,024,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,643 : 698,926.50 = 698,926.50 : x
  2. Step 2: Convert to fraction form
    476,643/698,926.50 = 698,926.50/x
  3. Step 3: Cross multiply
    476,643x = 698,926.50 × 698,926.50
  4. Step 4: Simplify right side
    476,643x = 488,498,252,402.25
  5. Step 5: Solve for x
    x = 488,498,252,402.25/476,643
  6. Step 6: Final answer
    x = 1,024,872.39

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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.