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Finding the Third Proportional to 341,152,117.50 and 487,514,274.75

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Solution

The third proportional to 341,152,117.50 and 487,514,274.75 is: 696,669,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,152,117.50 : 487,514,274.75 = 487,514,274.75 : x
  2. Step 2: Convert to fraction form
    341,152,117.50/487,514,274.75 = 487,514,274.75/x
  3. Step 3: Cross multiply
    341,152,117.50x = 487,514,274.75 × 487,514,274.75
  4. Step 4: Simplify right side
    341,152,117.50x = 237,670,168,085,018,496
  5. Step 5: Solve for x
    x = 237,670,168,085,018,496/341,152,117.50
  6. Step 6: Final answer
    x = 696,669,186.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.