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Finding the Third Proportional to 507,521,310 and 807,566,175

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Solution

The third proportional to 507,521,310 and 807,566,175 is: 1,284,996,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,521,310 : 807,566,175 = 807,566,175 : x
  2. Step 2: Convert to fraction form
    507,521,310/807,566,175 = 807,566,175/x
  3. Step 3: Cross multiply
    507,521,310x = 807,566,175 × 807,566,175
  4. Step 4: Simplify right side
    507,521,310x = 652,163,127,004,130,688
  5. Step 5: Solve for x
    x = 652,163,127,004,130,688/507,521,310
  6. Step 6: Final answer
    x = 1,284,996,539.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.