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Finding the Third Proportional to 249,570 and 546,369

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Solution

The third proportional to 249,570 and 546,369 is: 1,196,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,570 : 546,369 = 546,369 : x
  2. Step 2: Convert to fraction form
    249,570/546,369 = 546,369/x
  3. Step 3: Cross multiply
    249,570x = 546,369 × 546,369
  4. Step 4: Simplify right side
    249,570x = 298,519,084,161
  5. Step 5: Solve for x
    x = 298,519,084,161/249,570
  6. Step 6: Final answer
    x = 1,196,133.69

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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.