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Finding the Third Proportional to 465,969 and 692,389

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Solution

The third proportional to 465,969 and 692,389 is: 1,028,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,969 : 692,389 = 692,389 : x
  2. Step 2: Convert to fraction form
    465,969/692,389 = 692,389/x
  3. Step 3: Cross multiply
    465,969x = 692,389 × 692,389
  4. Step 4: Simplify right side
    465,969x = 479,402,527,321
  5. Step 5: Solve for x
    x = 479,402,527,321/465,969
  6. Step 6: Final answer
    x = 1,028,829.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.