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Finding the Third Proportional to 583,636 and 834,594

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Solution

The third proportional to 583,636 and 834,594 is: 1,193,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,636 : 834,594 = 834,594 : x
  2. Step 2: Convert to fraction form
    583,636/834,594 = 834,594/x
  3. Step 3: Cross multiply
    583,636x = 834,594 × 834,594
  4. Step 4: Simplify right side
    583,636x = 696,547,144,836
  5. Step 5: Solve for x
    x = 696,547,144,836/583,636
  6. Step 6: Final answer
    x = 1,193,461.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.