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Finding the Third Proportional to 566,094 and 909,004.50

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Solution

The third proportional to 566,094 and 909,004.50 is: 1,459,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,094 : 909,004.50 = 909,004.50 : x
  2. Step 2: Convert to fraction form
    566,094/909,004.50 = 909,004.50/x
  3. Step 3: Cross multiply
    566,094x = 909,004.50 × 909,004.50
  4. Step 4: Simplify right side
    566,094x = 826,289,181,020.25
  5. Step 5: Solve for x
    x = 826,289,181,020.25/566,094
  6. Step 6: Final answer
    x = 1,459,632.47

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.