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Finding the Third Proportional to 518,345 and 846,409.50

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Solution

The third proportional to 518,345 and 846,409.50 is: 1,382,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,345 : 846,409.50 = 846,409.50 : x
  2. Step 2: Convert to fraction form
    518,345/846,409.50 = 846,409.50/x
  3. Step 3: Cross multiply
    518,345x = 846,409.50 × 846,409.50
  4. Step 4: Simplify right side
    518,345x = 716,409,041,690.25
  5. Step 5: Solve for x
    x = 716,409,041,690.25/518,345
  6. Step 6: Final answer
    x = 1,382,108.52

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.