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Finding the Third Proportional to 210,368 and 457,024

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Solution

The third proportional to 210,368 and 457,024 is: 992,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,368 : 457,024 = 457,024 : x
  2. Step 2: Convert to fraction form
    210,368/457,024 = 457,024/x
  3. Step 3: Cross multiply
    210,368x = 457,024 × 457,024
  4. Step 4: Simplify right side
    210,368x = 208,870,936,576
  5. Step 5: Solve for x
    x = 208,870,936,576/210,368
  6. Step 6: Final answer
    x = 992,883.60

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Why These Related Problems?

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