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Finding the Third Proportional to 536,307.75 and 786,928.50

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Solution

The third proportional to 536,307.75 and 786,928.50 is: 1,154,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,307.75 : 786,928.50 = 786,928.50 : x
  2. Step 2: Convert to fraction form
    536,307.75/786,928.50 = 786,928.50/x
  3. Step 3: Cross multiply
    536,307.75x = 786,928.50 × 786,928.50
  4. Step 4: Simplify right side
    536,307.75x = 619,256,464,112.25
  5. Step 5: Solve for x
    x = 619,256,464,112.25/536,307.75
  6. Step 6: Final answer
    x = 1,154,666.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.