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Finding the Third Proportional to 728,038.50 and 1,102,237.50

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Solution

The third proportional to 728,038.50 and 1,102,237.50 is: 1,668,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,038.50 : 1,102,237.50 = 1,102,237.50 : x
  2. Step 2: Convert to fraction form
    728,038.50/1,102,237.50 = 1,102,237.50/x
  3. Step 3: Cross multiply
    728,038.50x = 1,102,237.50 × 1,102,237.50
  4. Step 4: Simplify right side
    728,038.50x = 1,214,927,506,406.25
  5. Step 5: Solve for x
    x = 1,214,927,506,406.25/728,038.50
  6. Step 6: Final answer
    x = 1,668,768.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.