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Finding the Third Proportional to 344,547,061.50 and 529,593,628.50

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Solution

The third proportional to 344,547,061.50 and 529,593,628.50 is: 814,023,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547,061.50 : 529,593,628.50 = 529,593,628.50 : x
  2. Step 2: Convert to fraction form
    344,547,061.50/529,593,628.50 = 529,593,628.50/x
  3. Step 3: Cross multiply
    344,547,061.50x = 529,593,628.50 × 529,593,628.50
  4. Step 4: Simplify right side
    344,547,061.50x = 280,469,411,347,796,000
  5. Step 5: Solve for x
    x = 280,469,411,347,796,000/344,547,061.50
  6. Step 6: Final answer
    x = 814,023,518.66

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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.