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Finding the Third Proportional to 459,300.38 and 714,101.06

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Solution

The third proportional to 459,300.38 and 714,101.06 is: 1,110,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,300.38 : 714,101.06 = 714,101.06 : x
  2. Step 2: Convert to fraction form
    459,300.38/714,101.06 = 714,101.06/x
  3. Step 3: Cross multiply
    459,300.38x = 714,101.06 × 714,101.06
  4. Step 4: Simplify right side
    459,300.38x = 509,940,327,463.63
  5. Step 5: Solve for x
    x = 509,940,327,463.63/459,300.38
  6. Step 6: Final answer
    x = 1,110,254.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.