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Finding the Third Proportional to 380,476.50 and 803,370

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Solution

The third proportional to 380,476.50 and 803,370 is: 1,696,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,476.50 : 803,370 = 803,370 : x
  2. Step 2: Convert to fraction form
    380,476.50/803,370 = 803,370/x
  3. Step 3: Cross multiply
    380,476.50x = 803,370 × 803,370
  4. Step 4: Simplify right side
    380,476.50x = 645,403,356,900
  5. Step 5: Solve for x
    x = 645,403,356,900/380,476.50
  6. Step 6: Final answer
    x = 1,696,302.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.