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Finding the Third Proportional to 456,448.50 and 710,506.69

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Solution

The third proportional to 456,448.50 and 710,506.69 is: 1,105,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,448.50 : 710,506.69 = 710,506.69 : x
  2. Step 2: Convert to fraction form
    456,448.50/710,506.69 = 710,506.69/x
  3. Step 3: Cross multiply
    456,448.50x = 710,506.69 × 710,506.69
  4. Step 4: Simplify right side
    456,448.50x = 504,819,752,982.22
  5. Step 5: Solve for x
    x = 504,819,752,982.22/456,448.50
  6. Step 6: Final answer
    x = 1,105,973.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.