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Finding the Third Proportional to 249,560 and 545,776

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Solution

The third proportional to 249,560 and 545,776 is: 1,193,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,560 : 545,776 = 545,776 : x
  2. Step 2: Convert to fraction form
    249,560/545,776 = 545,776/x
  3. Step 3: Cross multiply
    249,560x = 545,776 × 545,776
  4. Step 4: Simplify right side
    249,560x = 297,871,442,176
  5. Step 5: Solve for x
    x = 297,871,442,176/249,560
  6. Step 6: Final answer
    x = 1,193,586.48

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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.