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Finding the Third Proportional to 645,873.75 and 924,513.75

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Solution

The third proportional to 645,873.75 and 924,513.75 is: 1,323,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,873.75 : 924,513.75 = 924,513.75 : x
  2. Step 2: Convert to fraction form
    645,873.75/924,513.75 = 924,513.75/x
  3. Step 3: Cross multiply
    645,873.75x = 924,513.75 × 924,513.75
  4. Step 4: Simplify right side
    645,873.75x = 854,725,673,939.06
  5. Step 5: Solve for x
    x = 854,725,673,939.06/645,873.75
  6. Step 6: Final answer
    x = 1,323,363.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.