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Finding the Third Proportional to 457,656 and 692,397

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Solution

The third proportional to 457,656 and 692,397 is: 1,047,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,656 : 692,397 = 692,397 : x
  2. Step 2: Convert to fraction form
    457,656/692,397 = 692,397/x
  3. Step 3: Cross multiply
    457,656x = 692,397 × 692,397
  4. Step 4: Simplify right side
    457,656x = 479,413,605,609
  5. Step 5: Solve for x
    x = 479,413,605,609/457,656
  6. Step 6: Final answer
    x = 1,047,541.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.