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Finding the Third Proportional to 302,935 and 637,207

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Solution

The third proportional to 302,935 and 637,207 is: 1,340,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,935 : 637,207 = 637,207 : x
  2. Step 2: Convert to fraction form
    302,935/637,207 = 637,207/x
  3. Step 3: Cross multiply
    302,935x = 637,207 × 637,207
  4. Step 4: Simplify right side
    302,935x = 406,032,760,849
  5. Step 5: Solve for x
    x = 406,032,760,849/302,935
  6. Step 6: Final answer
    x = 1,340,329.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.