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Finding the Third Proportional to 466,308 and 708,576.75

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Solution

The third proportional to 466,308 and 708,576.75 is: 1,076,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,308 : 708,576.75 = 708,576.75 : x
  2. Step 2: Convert to fraction form
    466,308/708,576.75 = 708,576.75/x
  3. Step 3: Cross multiply
    466,308x = 708,576.75 × 708,576.75
  4. Step 4: Simplify right side
    466,308x = 502,081,010,640.56
  5. Step 5: Solve for x
    x = 502,081,010,640.56/466,308
  6. Step 6: Final answer
    x = 1,076,715.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.