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Finding the Third Proportional to 628,534.69 and 973,039.08

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Solution

The third proportional to 628,534.69 and 973,039.08 is: 1,506,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,534.69 : 973,039.08 = 973,039.08 : x
  2. Step 2: Convert to fraction form
    628,534.69/973,039.08 = 973,039.08/x
  3. Step 3: Cross multiply
    628,534.69x = 973,039.08 × 973,039.08
  4. Step 4: Simplify right side
    628,534.69x = 946,805,047,558.35
  5. Step 5: Solve for x
    x = 946,805,047,558.35/628,534.69
  6. Step 6: Final answer
    x = 1,506,368.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.