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Finding the Third Proportional to 517,506 and 785,013

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Solution

The third proportional to 517,506 and 785,013 is: 1,190,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,506 : 785,013 = 785,013 : x
  2. Step 2: Convert to fraction form
    517,506/785,013 = 785,013/x
  3. Step 3: Cross multiply
    517,506x = 785,013 × 785,013
  4. Step 4: Simplify right side
    517,506x = 616,245,410,169
  5. Step 5: Solve for x
    x = 616,245,410,169/517,506
  6. Step 6: Final answer
    x = 1,190,798.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.