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Finding the Third Proportional to 433,090 and 893,640.50

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Solution

The third proportional to 433,090 and 893,640.50 is: 1,843,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,090 : 893,640.50 = 893,640.50 : x
  2. Step 2: Convert to fraction form
    433,090/893,640.50 = 893,640.50/x
  3. Step 3: Cross multiply
    433,090x = 893,640.50 × 893,640.50
  4. Step 4: Simplify right side
    433,090x = 798,593,343,240.25
  5. Step 5: Solve for x
    x = 798,593,343,240.25/433,090
  6. Step 6: Final answer
    x = 1,843,943.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.