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Finding the Third Proportional to 565,060 and 1,333,627.50

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Solution

The third proportional to 565,060 and 1,333,627.50 is: 3,147,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,060 : 1,333,627.50 = 1,333,627.50 : x
  2. Step 2: Convert to fraction form
    565,060/1,333,627.50 = 1,333,627.50/x
  3. Step 3: Cross multiply
    565,060x = 1,333,627.50 × 1,333,627.50
  4. Step 4: Simplify right side
    565,060x = 1,778,562,308,756.25
  5. Step 5: Solve for x
    x = 1,778,562,308,756.25/565,060
  6. Step 6: Final answer
    x = 3,147,563.64

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.