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Finding the Third Proportional to 402,814 and 877,528

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Solution

The third proportional to 402,814 and 877,528 is: 1,911,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,814 : 877,528 = 877,528 : x
  2. Step 2: Convert to fraction form
    402,814/877,528 = 877,528/x
  3. Step 3: Cross multiply
    402,814x = 877,528 × 877,528
  4. Step 4: Simplify right side
    402,814x = 770,055,390,784
  5. Step 5: Solve for x
    x = 770,055,390,784/402,814
  6. Step 6: Final answer
    x = 1,911,689.74

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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.