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Finding the Third Proportional to 245,877,201 and 501,630,786

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Solution

The third proportional to 245,877,201 and 501,630,786 is: 1,023,411,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,877,201 : 501,630,786 = 501,630,786 : x
  2. Step 2: Convert to fraction form
    245,877,201/501,630,786 = 501,630,786/x
  3. Step 3: Cross multiply
    245,877,201x = 501,630,786 × 501,630,786
  4. Step 4: Simplify right side
    245,877,201x = 251,633,445,462,977,792
  5. Step 5: Solve for x
    x = 251,633,445,462,977,792/245,877,201
  6. Step 6: Final answer
    x = 1,023,411,054.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.