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Finding the Third Proportional to 340,548 and 740,952

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Solution

The third proportional to 340,548 and 740,952 is: 1,612,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,548 : 740,952 = 740,952 : x
  2. Step 2: Convert to fraction form
    340,548/740,952 = 740,952/x
  3. Step 3: Cross multiply
    340,548x = 740,952 × 740,952
  4. Step 4: Simplify right side
    340,548x = 549,009,866,304
  5. Step 5: Solve for x
    x = 549,009,866,304/340,548
  6. Step 6: Final answer
    x = 1,612,136.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.