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Finding the Third Proportional to 465,307.03 and 973,237.78

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Solution

The third proportional to 465,307.03 and 973,237.78 is: 2,035,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,307.03 : 973,237.78 = 973,237.78 : x
  2. Step 2: Convert to fraction form
    465,307.03/973,237.78 = 973,237.78/x
  3. Step 3: Cross multiply
    465,307.03x = 973,237.78 × 973,237.78
  4. Step 4: Simplify right side
    465,307.03x = 947,191,778,852.42
  5. Step 5: Solve for x
    x = 947,191,778,852.42/465,307.03
  6. Step 6: Final answer
    x = 2,035,627.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.