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Finding the Third Proportional to 302,816 and 657,146

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Solution

The third proportional to 302,816 and 657,146 is: 1,426,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,816 : 657,146 = 657,146 : x
  2. Step 2: Convert to fraction form
    302,816/657,146 = 657,146/x
  3. Step 3: Cross multiply
    302,816x = 657,146 × 657,146
  4. Step 4: Simplify right side
    302,816x = 431,840,865,316
  5. Step 5: Solve for x
    x = 431,840,865,316/302,816
  6. Step 6: Final answer
    x = 1,426,083.38

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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.