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Finding the Third Proportional to 302,929.50 and 637,197

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Solution

The third proportional to 302,929.50 and 637,197 is: 1,340,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,929.50 : 637,197 = 637,197 : x
  2. Step 2: Convert to fraction form
    302,929.50/637,197 = 637,197/x
  3. Step 3: Cross multiply
    302,929.50x = 637,197 × 637,197
  4. Step 4: Simplify right side
    302,929.50x = 406,020,016,809
  5. Step 5: Solve for x
    x = 406,020,016,809/302,929.50
  6. Step 6: Final answer
    x = 1,340,311.91

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