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Finding the Third Proportional to 357,154 and 705,476

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Solution

The third proportional to 357,154 and 705,476 is: 1,393,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,154 : 705,476 = 705,476 : x
  2. Step 2: Convert to fraction form
    357,154/705,476 = 705,476/x
  3. Step 3: Cross multiply
    357,154x = 705,476 × 705,476
  4. Step 4: Simplify right side
    357,154x = 497,696,386,576
  5. Step 5: Solve for x
    x = 497,696,386,576/357,154
  6. Step 6: Final answer
    x = 1,393,506.41

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.