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Finding the Third Proportional to 480,866.63 and 750,756.09

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Solution

The third proportional to 480,866.63 and 750,756.09 is: 1,172,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,866.63 : 750,756.09 = 750,756.09 : x
  2. Step 2: Convert to fraction form
    480,866.63/750,756.09 = 750,756.09/x
  3. Step 3: Cross multiply
    480,866.63x = 750,756.09 × 750,756.09
  4. Step 4: Simplify right side
    480,866.63x = 563,634,712,302.76
  5. Step 5: Solve for x
    x = 563,634,712,302.76/480,866.63
  6. Step 6: Final answer
    x = 1,172,122.75

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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.