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Finding the Third Proportional to 210,627 and 456,721.88

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Solution

The third proportional to 210,627 and 456,721.88 is: 990,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,627 : 456,721.88 = 456,721.88 : x
  2. Step 2: Convert to fraction form
    210,627/456,721.88 = 456,721.88/x
  3. Step 3: Cross multiply
    210,627x = 456,721.88 × 456,721.88
  4. Step 4: Simplify right side
    210,627x = 208,594,871,103.52
  5. Step 5: Solve for x
    x = 208,594,871,103.52/210,627
  6. Step 6: Final answer
    x = 990,352.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.