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Finding the Third Proportional to 249,336 and 540,944

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Solution

The third proportional to 249,336 and 540,944 is: 1,173,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,336 : 540,944 = 540,944 : x
  2. Step 2: Convert to fraction form
    249,336/540,944 = 540,944/x
  3. Step 3: Cross multiply
    249,336x = 540,944 × 540,944
  4. Step 4: Simplify right side
    249,336x = 292,620,411,136
  5. Step 5: Solve for x
    x = 292,620,411,136/249,336
  6. Step 6: Final answer
    x = 1,173,598.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.