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Finding the Third Proportional to 464,784.75 and 716,667.75

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Solution

The third proportional to 464,784.75 and 716,667.75 is: 1,105,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,784.75 : 716,667.75 = 716,667.75 : x
  2. Step 2: Convert to fraction form
    464,784.75/716,667.75 = 716,667.75/x
  3. Step 3: Cross multiply
    464,784.75x = 716,667.75 × 716,667.75
  4. Step 4: Simplify right side
    464,784.75x = 513,612,663,890.06
  5. Step 5: Solve for x
    x = 513,612,663,890.06/464,784.75
  6. Step 6: Final answer
    x = 1,105,054.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.