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Finding the Third Proportional to 466,604 and 964,312

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Solution

The third proportional to 466,604 and 964,312 is: 1,992,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,604 : 964,312 = 964,312 : x
  2. Step 2: Convert to fraction form
    466,604/964,312 = 964,312/x
  3. Step 3: Cross multiply
    466,604x = 964,312 × 964,312
  4. Step 4: Simplify right side
    466,604x = 929,897,633,344
  5. Step 5: Solve for x
    x = 929,897,633,344/466,604
  6. Step 6: Final answer
    x = 1,992,905.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.