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Finding the Third Proportional to 207,448 and 455,056

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Solution

The third proportional to 207,448 and 455,056 is: 998,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,448 : 455,056 = 455,056 : x
  2. Step 2: Convert to fraction form
    207,448/455,056 = 455,056/x
  3. Step 3: Cross multiply
    207,448x = 455,056 × 455,056
  4. Step 4: Simplify right side
    207,448x = 207,075,963,136
  5. Step 5: Solve for x
    x = 207,075,963,136/207,448
  6. Step 6: Final answer
    x = 998,206.60

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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.