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Finding the Third Proportional to 377,054 and 808,082

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Solution

The third proportional to 377,054 and 808,082 is: 1,731,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,054 : 808,082 = 808,082 : x
  2. Step 2: Convert to fraction form
    377,054/808,082 = 808,082/x
  3. Step 3: Cross multiply
    377,054x = 808,082 × 808,082
  4. Step 4: Simplify right side
    377,054x = 652,996,518,724
  5. Step 5: Solve for x
    x = 652,996,518,724/377,054
  6. Step 6: Final answer
    x = 1,731,838.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.