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Finding the Third Proportional to 249,878 and 546,358

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Solution

The third proportional to 249,878 and 546,358 is: 1,194,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,878 : 546,358 = 546,358 : x
  2. Step 2: Convert to fraction form
    249,878/546,358 = 546,358/x
  3. Step 3: Cross multiply
    249,878x = 546,358 × 546,358
  4. Step 4: Simplify right side
    249,878x = 298,507,064,164
  5. Step 5: Solve for x
    x = 298,507,064,164/249,878
  6. Step 6: Final answer
    x = 1,194,611.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.