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Finding the Third Proportional to 210,567.75 and 460,501.50

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Solution

The third proportional to 210,567.75 and 460,501.50 is: 1,007,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,567.75 : 460,501.50 = 460,501.50 : x
  2. Step 2: Convert to fraction form
    210,567.75/460,501.50 = 460,501.50/x
  3. Step 3: Cross multiply
    210,567.75x = 460,501.50 × 460,501.50
  4. Step 4: Simplify right side
    210,567.75x = 212,061,631,502.25
  5. Step 5: Solve for x
    x = 212,061,631,502.25/210,567.75
  6. Step 6: Final answer
    x = 1,007,094.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.