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Finding the Third Proportional to 343,464 and 525,423

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Solution

The third proportional to 343,464 and 525,423 is: 803,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,464 : 525,423 = 525,423 : x
  2. Step 2: Convert to fraction form
    343,464/525,423 = 525,423/x
  3. Step 3: Cross multiply
    343,464x = 525,423 × 525,423
  4. Step 4: Simplify right side
    343,464x = 276,069,328,929
  5. Step 5: Solve for x
    x = 276,069,328,929/343,464
  6. Step 6: Final answer
    x = 803,779.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.