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Finding the Third Proportional to 460,856 and 715,260

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Solution

The third proportional to 460,856 and 715,260 is: 1,110,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,856 : 715,260 = 715,260 : x
  2. Step 2: Convert to fraction form
    460,856/715,260 = 715,260/x
  3. Step 3: Cross multiply
    460,856x = 715,260 × 715,260
  4. Step 4: Simplify right side
    460,856x = 511,596,867,600
  5. Step 5: Solve for x
    x = 511,596,867,600/460,856
  6. Step 6: Final answer
    x = 1,110,101.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.