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Finding the Third Proportional to 208,716 and 456,792

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Solution

The third proportional to 208,716 and 456,792 is: 999,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,716 : 456,792 = 456,792 : x
  2. Step 2: Convert to fraction form
    208,716/456,792 = 456,792/x
  3. Step 3: Cross multiply
    208,716x = 456,792 × 456,792
  4. Step 4: Simplify right side
    208,716x = 208,658,931,264
  5. Step 5: Solve for x
    x = 208,658,931,264/208,716
  6. Step 6: Final answer
    x = 999,726.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.