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Finding the Third Proportional to 380,470.50 and 803,358

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Solution

The third proportional to 380,470.50 and 803,358 is: 1,696,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,470.50 : 803,358 = 803,358 : x
  2. Step 2: Convert to fraction form
    380,470.50/803,358 = 803,358/x
  3. Step 3: Cross multiply
    380,470.50x = 803,358 × 803,358
  4. Step 4: Simplify right side
    380,470.50x = 645,384,076,164
  5. Step 5: Solve for x
    x = 645,384,076,164/380,470.50
  6. Step 6: Final answer
    x = 1,696,278.89

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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.