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Finding the Third Proportional to 456,102 and 715,482

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Solution

The third proportional to 456,102 and 715,482 is: 1,122,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,102 : 715,482 = 715,482 : x
  2. Step 2: Convert to fraction form
    456,102/715,482 = 715,482/x
  3. Step 3: Cross multiply
    456,102x = 715,482 × 715,482
  4. Step 4: Simplify right side
    456,102x = 511,914,492,324
  5. Step 5: Solve for x
    x = 511,914,492,324/456,102
  6. Step 6: Final answer
    x = 1,122,368.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.