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Finding the Third Proportional to 466,712 and 964,528

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Solution

The third proportional to 466,712 and 964,528 is: 1,993,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,712 : 964,528 = 964,528 : x
  2. Step 2: Convert to fraction form
    466,712/964,528 = 964,528/x
  3. Step 3: Cross multiply
    466,712x = 964,528 × 964,528
  4. Step 4: Simplify right side
    466,712x = 930,314,262,784
  5. Step 5: Solve for x
    x = 930,314,262,784/466,712
  6. Step 6: Final answer
    x = 1,993,336.92

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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.