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Finding the Third Proportional to 575,157 and 1,209,808.50

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Solution

The third proportional to 575,157 and 1,209,808.50 is: 2,544,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,157 : 1,209,808.50 = 1,209,808.50 : x
  2. Step 2: Convert to fraction form
    575,157/1,209,808.50 = 1,209,808.50/x
  3. Step 3: Cross multiply
    575,157x = 1,209,808.50 × 1,209,808.50
  4. Step 4: Simplify right side
    575,157x = 1,463,636,606,672.25
  5. Step 5: Solve for x
    x = 1,463,636,606,672.25/575,157
  6. Step 6: Final answer
    x = 2,544,760.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.