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Finding the Third Proportional to 416,316 and 658,590

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Solution

The third proportional to 416,316 and 658,590 is: 1,041,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,316 : 658,590 = 658,590 : x
  2. Step 2: Convert to fraction form
    416,316/658,590 = 658,590/x
  3. Step 3: Cross multiply
    416,316x = 658,590 × 658,590
  4. Step 4: Simplify right side
    416,316x = 433,740,788,100
  5. Step 5: Solve for x
    x = 433,740,788,100/416,316
  6. Step 6: Final answer
    x = 1,041,854.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.