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Finding the Third Proportional to 209,807.63 and 452,783.06

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Solution

The third proportional to 209,807.63 and 452,783.06 is: 977,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.63 : 452,783.06 = 452,783.06 : x
  2. Step 2: Convert to fraction form
    209,807.63/452,783.06 = 452,783.06/x
  3. Step 3: Cross multiply
    209,807.63x = 452,783.06 × 452,783.06
  4. Step 4: Simplify right side
    209,807.63x = 205,012,501,686.88
  5. Step 5: Solve for x
    x = 205,012,501,686.88/209,807.63
  6. Step 6: Final answer
    x = 977,145.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.