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Finding the Third Proportional to 473,560 and 715,236

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Solution

The third proportional to 473,560 and 715,236 is: 1,080,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,560 : 715,236 = 715,236 : x
  2. Step 2: Convert to fraction form
    473,560/715,236 = 715,236/x
  3. Step 3: Cross multiply
    473,560x = 715,236 × 715,236
  4. Step 4: Simplify right side
    473,560x = 511,562,535,696
  5. Step 5: Solve for x
    x = 511,562,535,696/473,560
  6. Step 6: Final answer
    x = 1,080,248.62

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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.