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Finding the Third Proportional to 560,561.63 and 1,316,005.88

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Solution

The third proportional to 560,561.63 and 1,316,005.88 is: 3,089,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,561.63 : 1,316,005.88 = 1,316,005.88 : x
  2. Step 2: Convert to fraction form
    560,561.63/1,316,005.88 = 1,316,005.88/x
  3. Step 3: Cross multiply
    560,561.63x = 1,316,005.88 × 1,316,005.88
  4. Step 4: Simplify right side
    560,561.63x = 1,731,871,463,034.52
  5. Step 5: Solve for x
    x = 1,731,871,463,034.52/560,561.63
  6. Step 6: Final answer
    x = 3,089,529.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.