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Finding the Third Proportional to 265,445 and 577,541

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Solution

The third proportional to 265,445 and 577,541 is: 1,256,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,445 : 577,541 = 577,541 : x
  2. Step 2: Convert to fraction form
    265,445/577,541 = 577,541/x
  3. Step 3: Cross multiply
    265,445x = 577,541 × 577,541
  4. Step 4: Simplify right side
    265,445x = 333,553,606,681
  5. Step 5: Solve for x
    x = 333,553,606,681/265,445
  6. Step 6: Final answer
    x = 1,256,582.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.