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Finding the Third Proportional to 205,547.63 and 457,808.06

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Solution

The third proportional to 205,547.63 and 457,808.06 is: 1,019,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,547.63 : 457,808.06 = 457,808.06 : x
  2. Step 2: Convert to fraction form
    205,547.63/457,808.06 = 457,808.06/x
  3. Step 3: Cross multiply
    205,547.63x = 457,808.06 × 457,808.06
  4. Step 4: Simplify right side
    205,547.63x = 209,588,222,090.00
  5. Step 5: Solve for x
    x = 209,588,222,090.00/205,547.63
  6. Step 6: Final answer
    x = 1,019,657.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.