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Finding the Third Proportional to 355,792 and 549,402

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Solution

The third proportional to 355,792 and 549,402 is: 848,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,792 : 549,402 = 549,402 : x
  2. Step 2: Convert to fraction form
    355,792/549,402 = 549,402/x
  3. Step 3: Cross multiply
    355,792x = 549,402 × 549,402
  4. Step 4: Simplify right side
    355,792x = 301,842,557,604
  5. Step 5: Solve for x
    x = 301,842,557,604/355,792
  6. Step 6: Final answer
    x = 848,368.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.