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Finding the Third Proportional to 554,893 and 832,413

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Solution

The third proportional to 554,893 and 832,413 is: 1,248,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,893 : 832,413 = 832,413 : x
  2. Step 2: Convert to fraction form
    554,893/832,413 = 832,413/x
  3. Step 3: Cross multiply
    554,893x = 832,413 × 832,413
  4. Step 4: Simplify right side
    554,893x = 692,911,402,569
  5. Step 5: Solve for x
    x = 692,911,402,569/554,893
  6. Step 6: Final answer
    x = 1,248,729.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.