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Finding the Third Proportional to 500,692.50 and 1,076,036.63

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Solution

The third proportional to 500,692.50 and 1,076,036.63 is: 2,312,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,692.50 : 1,076,036.63 = 1,076,036.63 : x
  2. Step 2: Convert to fraction form
    500,692.50/1,076,036.63 = 1,076,036.63/x
  3. Step 3: Cross multiply
    500,692.50x = 1,076,036.63 × 1,076,036.63
  4. Step 4: Simplify right side
    500,692.50x = 1,157,854,818,341.39
  5. Step 5: Solve for x
    x = 1,157,854,818,341.39/500,692.50
  6. Step 6: Final answer
    x = 2,312,506.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.