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Finding the Third Proportional to 549,306 and 1,203,341.50

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Solution

The third proportional to 549,306 and 1,203,341.50 is: 2,636,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,306 : 1,203,341.50 = 1,203,341.50 : x
  2. Step 2: Convert to fraction form
    549,306/1,203,341.50 = 1,203,341.50/x
  3. Step 3: Cross multiply
    549,306x = 1,203,341.50 × 1,203,341.50
  4. Step 4: Simplify right side
    549,306x = 1,448,030,765,622.25
  5. Step 5: Solve for x
    x = 1,448,030,765,622.25/549,306
  6. Step 6: Final answer
    x = 2,636,109.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.