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Finding the Third Proportional to 433,090.50 and 893,641.50

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Solution

The third proportional to 433,090.50 and 893,641.50 is: 1,843,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,090.50 : 893,641.50 = 893,641.50 : x
  2. Step 2: Convert to fraction form
    433,090.50/893,641.50 = 893,641.50/x
  3. Step 3: Cross multiply
    433,090.50x = 893,641.50 × 893,641.50
  4. Step 4: Simplify right side
    433,090.50x = 798,595,130,522.25
  5. Step 5: Solve for x
    x = 798,595,130,522.25/433,090.50
  6. Step 6: Final answer
    x = 1,843,945.16

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