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Finding the Third Proportional to 262,607.06 and 572,918.06

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Solution

The third proportional to 262,607.06 and 572,918.06 is: 1,249,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,607.06 : 572,918.06 = 572,918.06 : x
  2. Step 2: Convert to fraction form
    262,607.06/572,918.06 = 572,918.06/x
  3. Step 3: Cross multiply
    262,607.06x = 572,918.06 × 572,918.06
  4. Step 4: Simplify right side
    262,607.06x = 328,235,106,338.75
  5. Step 5: Solve for x
    x = 328,235,106,338.75/262,607.06
  6. Step 6: Final answer
    x = 1,249,909.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.