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Finding the Third Proportional to 464,602.50 and 710,232.75

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Solution

The third proportional to 464,602.50 and 710,232.75 is: 1,085,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,602.50 : 710,232.75 = 710,232.75 : x
  2. Step 2: Convert to fraction form
    464,602.50/710,232.75 = 710,232.75/x
  3. Step 3: Cross multiply
    464,602.50x = 710,232.75 × 710,232.75
  4. Step 4: Simplify right side
    464,602.50x = 504,430,559,172.56
  5. Step 5: Solve for x
    x = 504,430,559,172.56/464,602.50
  6. Step 6: Final answer
    x = 1,085,725.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.