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Finding the Third Proportional to 586,111.50 and 913,410

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Solution

The third proportional to 586,111.50 and 913,410 is: 1,423,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,111.50 : 913,410 = 913,410 : x
  2. Step 2: Convert to fraction form
    586,111.50/913,410 = 913,410/x
  3. Step 3: Cross multiply
    586,111.50x = 913,410 × 913,410
  4. Step 4: Simplify right side
    586,111.50x = 834,317,828,100
  5. Step 5: Solve for x
    x = 834,317,828,100/586,111.50
  6. Step 6: Final answer
    x = 1,423,479.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.