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Finding the Third Proportional to 314,070.75 and 686,812.50

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Solution

The third proportional to 314,070.75 and 686,812.50 is: 1,501,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,070.75 : 686,812.50 = 686,812.50 : x
  2. Step 2: Convert to fraction form
    314,070.75/686,812.50 = 686,812.50/x
  3. Step 3: Cross multiply
    314,070.75x = 686,812.50 × 686,812.50
  4. Step 4: Simplify right side
    314,070.75x = 471,711,410,156.25
  5. Step 5: Solve for x
    x = 471,711,410,156.25/314,070.75
  6. Step 6: Final answer
    x = 1,501,927.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.