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Finding the Third Proportional to 355,312 and 546,691

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Solution

The third proportional to 355,312 and 546,691 is: 841,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,312 : 546,691 = 546,691 : x
  2. Step 2: Convert to fraction form
    355,312/546,691 = 546,691/x
  3. Step 3: Cross multiply
    355,312x = 546,691 × 546,691
  4. Step 4: Simplify right side
    355,312x = 298,871,049,481
  5. Step 5: Solve for x
    x = 298,871,049,481/355,312
  6. Step 6: Final answer
    x = 841,151.02

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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.