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Finding the Third Proportional to 554,303.25 and 772,284.38

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Solution

The third proportional to 554,303.25 and 772,284.38 is: 1,075,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,303.25 : 772,284.38 = 772,284.38 : x
  2. Step 2: Convert to fraction form
    554,303.25/772,284.38 = 772,284.38/x
  3. Step 3: Cross multiply
    554,303.25x = 772,284.38 × 772,284.38
  4. Step 4: Simplify right side
    554,303.25x = 596,423,155,869.14
  5. Step 5: Solve for x
    x = 596,423,155,869.14/554,303.25
  6. Step 6: Final answer
    x = 1,075,987.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.