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Finding the Third Proportional to 502,700 and 1,077,361

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Solution

The third proportional to 502,700 and 1,077,361 is: 2,308,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,700 : 1,077,361 = 1,077,361 : x
  2. Step 2: Convert to fraction form
    502,700/1,077,361 = 1,077,361/x
  3. Step 3: Cross multiply
    502,700x = 1,077,361 × 1,077,361
  4. Step 4: Simplify right side
    502,700x = 1,160,706,724,321
  5. Step 5: Solve for x
    x = 1,160,706,724,321/502,700
  6. Step 6: Final answer
    x = 2,308,945.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.