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Finding the Third Proportional to 346,319 and 553,241

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Solution

The third proportional to 346,319 and 553,241 is: 883,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,319 : 553,241 = 553,241 : x
  2. Step 2: Convert to fraction form
    346,319/553,241 = 553,241/x
  3. Step 3: Cross multiply
    346,319x = 553,241 × 553,241
  4. Step 4: Simplify right side
    346,319x = 306,075,604,081
  5. Step 5: Solve for x
    x = 306,075,604,081/346,319
  6. Step 6: Final answer
    x = 883,796.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.