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Finding the Third Proportional to 652,314.50 and 1,037,764.50

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Solution

The third proportional to 652,314.50 and 1,037,764.50 is: 1,650,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,314.50 : 1,037,764.50 = 1,037,764.50 : x
  2. Step 2: Convert to fraction form
    652,314.50/1,037,764.50 = 1,037,764.50/x
  3. Step 3: Cross multiply
    652,314.50x = 1,037,764.50 × 1,037,764.50
  4. Step 4: Simplify right side
    652,314.50x = 1,076,955,157,460.25
  5. Step 5: Solve for x
    x = 1,076,955,157,460.25/652,314.50
  6. Step 6: Final answer
    x = 1,650,975.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.