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Finding the Third Proportional to 344,345.63 and 534,498.75

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Solution

The third proportional to 344,345.63 and 534,498.75 is: 829,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,345.63 : 534,498.75 = 534,498.75 : x
  2. Step 2: Convert to fraction form
    344,345.63/534,498.75 = 534,498.75/x
  3. Step 3: Cross multiply
    344,345.63x = 534,498.75 × 534,498.75
  4. Step 4: Simplify right side
    344,345.63x = 285,688,913,751.56
  5. Step 5: Solve for x
    x = 285,688,913,751.56/344,345.63
  6. Step 6: Final answer
    x = 829,657.45

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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.