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Finding the Third Proportional to 473,148 and 714,642

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Solution

The third proportional to 473,148 and 714,642 is: 1,079,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,148 : 714,642 = 714,642 : x
  2. Step 2: Convert to fraction form
    473,148/714,642 = 714,642/x
  3. Step 3: Cross multiply
    473,148x = 714,642 × 714,642
  4. Step 4: Simplify right side
    473,148x = 510,713,188,164
  5. Step 5: Solve for x
    x = 510,713,188,164/473,148
  6. Step 6: Final answer
    x = 1,079,394.16

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