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Finding the Third Proportional to 560,558.25 and 1,316,000.25

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Solution

The third proportional to 560,558.25 and 1,316,000.25 is: 3,089,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,558.25 : 1,316,000.25 = 1,316,000.25 : x
  2. Step 2: Convert to fraction form
    560,558.25/1,316,000.25 = 1,316,000.25/x
  3. Step 3: Cross multiply
    560,558.25x = 1,316,000.25 × 1,316,000.25
  4. Step 4: Simplify right side
    560,558.25x = 1,731,856,658,000.06
  5. Step 5: Solve for x
    x = 1,731,856,658,000.06/560,558.25
  6. Step 6: Final answer
    x = 3,089,521.31

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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.