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Finding the Third Proportional to 356,585.63 and 840,916.69

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Solution

The third proportional to 356,585.63 and 840,916.69 is: 1,983,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,585.63 : 840,916.69 = 840,916.69 : x
  2. Step 2: Convert to fraction form
    356,585.63/840,916.69 = 840,916.69/x
  3. Step 3: Cross multiply
    356,585.63x = 840,916.69 × 840,916.69
  4. Step 4: Simplify right side
    356,585.63x = 707,140,875,315.97
  5. Step 5: Solve for x
    x = 707,140,875,315.97/356,585.63
  6. Step 6: Final answer
    x = 1,983,088.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.