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Finding the Third Proportional to 249,600 and 573,312

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Solution

The third proportional to 249,600 and 573,312 is: 1,316,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,600 : 573,312 = 573,312 : x
  2. Step 2: Convert to fraction form
    249,600/573,312 = 573,312/x
  3. Step 3: Cross multiply
    249,600x = 573,312 × 573,312
  4. Step 4: Simplify right side
    249,600x = 328,686,649,344
  5. Step 5: Solve for x
    x = 328,686,649,344/249,600
  6. Step 6: Final answer
    x = 1,316,853.56

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.