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Finding the Third Proportional to 212,430.09 and 460,854.56

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Solution

The third proportional to 212,430.09 and 460,854.56 is: 999,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,430.09 : 460,854.56 = 460,854.56 : x
  2. Step 2: Convert to fraction form
    212,430.09/460,854.56 = 460,854.56/x
  3. Step 3: Cross multiply
    212,430.09x = 460,854.56 × 460,854.56
  4. Step 4: Simplify right side
    212,430.09x = 212,386,927,777.07
  5. Step 5: Solve for x
    x = 212,386,927,777.07/212,430.09
  6. Step 6: Final answer
    x = 999,796.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.