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Finding the Third Proportional to 666,335 and 974,512.50

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Solution

The third proportional to 666,335 and 974,512.50 is: 1,425,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,335 : 974,512.50 = 974,512.50 : x
  2. Step 2: Convert to fraction form
    666,335/974,512.50 = 974,512.50/x
  3. Step 3: Cross multiply
    666,335x = 974,512.50 × 974,512.50
  4. Step 4: Simplify right side
    666,335x = 949,674,612,656.25
  5. Step 5: Solve for x
    x = 949,674,612,656.25/666,335
  6. Step 6: Final answer
    x = 1,425,220.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.