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Finding the Third Proportional to 292,706,521 and 578,010,287

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Solution

The third proportional to 292,706,521 and 578,010,287 is: 1,141,402,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,706,521 : 578,010,287 = 578,010,287 : x
  2. Step 2: Convert to fraction form
    292,706,521/578,010,287 = 578,010,287/x
  3. Step 3: Cross multiply
    292,706,521x = 578,010,287 × 578,010,287
  4. Step 4: Simplify right side
    292,706,521x = 334,095,891,877,822,400
  5. Step 5: Solve for x
    x = 334,095,891,877,822,400/292,706,521
  6. Step 6: Final answer
    x = 1,141,402,284.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.